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GCF of 534/117, 274/437

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 534/117, 274/437 i.e 2/51129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/117, 274/437.

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 534/117,274/437?

Given fractions are 534/117,274/437

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 534/117,274/437, numerators are 534,274

Denominators are 117,437

The GCF of 534,274 is 2 .

LCM of 117,437 is 51129.

The greatest common factor of 534/117,274/437 = [GCF of 534,274]/[LCM of 117,437]= 2/51129

Therefore, the GCF of 534/117,274/437 is 2/51129.

Greatest Common Factor of 534,274

To find the highest common factor of 534,274, we have to find the factors of both numbers and list the highest common factor.

The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534

The factors of 274 are 1, 2, 137, 274

The HCF of 534,274 is 2.

Lets's calculate GCF of 534,274

Greatest Common Factor (GCF) of 534,274 By Common Division

2 534, 274
267, 137

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

Greatest Common Factor of 534,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,274 By Matching Biggest Common Factor Method

Now, list down the factors of 534

:

1,2,3,6,89,178,267,534

Now, list down the factors of 274

:

1,2,137,274

Greatest Common Factor

We found the factors 534,274 . The biggest common factor number is the GCF number.
So the greatest common factor 534,274 is 2.


Lets's calculate LCM of 117,437

Lowest Common Multiple of 117,437 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 51129

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51129

Therefore, the GCF of Fractions 534/117,274/437 is 2/51129

Least Common Multiple of 117,437 with GCF Formula

Least Common Multiple of 117,437 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 117,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,437) = 1

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

GCF(117,437) x common factors =1 x 1 = 1

LCM(117,437) = ( 117 × 437 ) / 1

LCM(117,437) = 51129 / 1

LCM(117,437) = 51129


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 534/117, 274/437

1. What is the HCF of 534,274?

The HCF of 534,274 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 534/117, 274/437?

Answer: GCF of Numerators as per given numbers 534/117, 274/437 is

GCF of Numerators i.e. for 534,274 is 2

LCM of denominators i.e. for 117,437 is 51129.

Thus, GCF of Fractions is 2/51129.Finally, GCF of Fractions for 534/117, 274/437 is 2/51129.