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GCF of 356/62, 846/487

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 356/62, 846/487 i.e 2/30194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/62, 846/487.

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 356/62,846/487?

Given fractions are 356/62,846/487

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 356/62,846/487, numerators are 356,846

Denominators are 62,487

The GCF of 356,846 is 2 .

LCM of 62,487 is 30194.

The greatest common factor of 356/62,846/487 = [GCF of 356,846]/[LCM of 62,487]= 2/30194

Therefore, the GCF of 356/62,846/487 is 2/30194.

Greatest Common Factor of 356,846

To find the highest common factor of 356,846, 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 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The HCF of 356,846 is 2.

Lets's calculate GCF of 356,846

Greatest Common Factor (GCF) of 356,846 By Common Division

2 356, 846
178, 423

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

Greatest Common Factor of 356,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,846 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 846

:

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 356,846 . The biggest common factor number is the GCF number.
So the greatest common factor 356,846 is 2.


Lets's calculate LCM of 62,487

Lowest Common Multiple of 62,487 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30194

Therefore, the GCF of Fractions 356/62,846/487 is 2/30194

Least Common Multiple of 62,487 with GCF Formula

Least Common Multiple of 62,487 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 62,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,487) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(62,487) x common factors =1 x 1 = 1

LCM(62,487) = ( 62 × 487 ) / 1

LCM(62,487) = 30194 / 1

LCM(62,487) = 30194


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 356/62, 846/487

1. What is the HCF of 356,846?

The HCF of 356,846 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 356/62, 846/487?

Answer: GCF of Numerators as per given numbers 356/62, 846/487 is

GCF of Numerators i.e. for 356,846 is 2

LCM of denominators i.e. for 62,487 is 30194.

Thus, GCF of Fractions is 2/30194.Finally, GCF of Fractions for 356/62, 846/487 is 2/30194.