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GCF of 356/473, 134/612, 838/494

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 356/473, 134/612, 838/494 i.e 2/71500572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/473, 134/612, 838/494.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 356/473,134/612,838/494?

Given fractions are 356/473,134/612,838/494

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 356/473,134/612,838/494, numerators are 356,134,838

Denominators are 473,612,494

The GCF of 356,134,838 is 2 .

LCM of 473,612,494 is 71500572.

The greatest common factor of 356/473,134/612,838/494 = [GCF of 356,134,838]/[LCM of 473,612,494]= 2/71500572

Therefore, the GCF of 356/473,134/612,838/494 is 2/71500572.

Greatest Common Factor of 356,134,838

To find the highest common factor of 356,134,838, we have to find the factors of both numbers and list the highest common factor.

The factors of 356 are 1, 2, 4, 89, 178, 356

The factors of 134 are 1, 2, 67, 134

The factors of 838 are 1, 2, 419, 838

The HCF of 356,134,838 is 2.

Lets's calculate GCF of 356,134,838

Greatest Common Factor (GCF) of 356,134,838 By Common Division

2 356, 134, 838
178, 67, 419

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 356,134,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,134,838 By Matching Biggest Common Factor Method

Now, list down the factors of 356

:

1,2,4,89,178,356

Now, list down the factors of 134

:

1,2,67,134

Now, list down the factors of 838

:

1,2,419,838

Greatest Common Factor

We found the factors 356,134,838 . The biggest common factor number is the GCF number.
So the greatest common factor 356,134,838 is 2.


Lets's calculate LCM of 473,612,494

Lowest Common Multiple of 473,612,494 using Common Division

2 473, 612, 494
473, 306, 247

∴ So the LCM of the given numbers is 2 x 473 x 306 x 247 = 71500572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71500572

Therefore, the GCF of Fractions 356/473,134/612,838/494 is 2/71500572

Least Common Multiple of 473,612,494 with GCF Formula

Least Common Multiple of 473,612,494 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 473,612,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,612,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(473,612,494) x common factors =1 x 2 = 2

LCM(473,612,494) = ( 473 × 612 × 494 ) / 2

LCM(473,612,494) = 143001144 / 2

LCM(473,612,494) = 71500572


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 356/473, 134/612, 838/494

1. What is the HCF of 356,134,838?

The HCF of 356,134,838 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 356/473, 134/612, 838/494?

Answer: GCF of Numerators as per given numbers 356/473, 134/612, 838/494 is

GCF of Numerators i.e. for 356,134,838 is 2

LCM of denominators i.e. for 473,612,494 is 71500572.

Thus, GCF of Fractions is 2/71500572.Finally, GCF of Fractions for 356/473, 134/612, 838/494 is 2/71500572.