How to Find GCF of 358/274, 528/685?

GCF of 358/274, 528/685

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 358/274, 528/685 i.e 2/1370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/274, 528/685.

Enter two or more fractions separated by "commas"

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

What is the GCF of 358/274,528/685?

Given fractions are 358/274,528/685

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 358/274,528/685, numerators are 358,528

Denominators are 274,685

The GCF of 358,528 is 2 .

LCM of 274,685 is 1370.

The greatest common factor of 358/274,528/685 = [GCF of 358,528]/[LCM of 274,685]= 2/1370

Therefore, the GCF of 358/274,528/685 is 2/1370.

Greatest Common Factor of 358,528

To find the highest common factor of 358,528, we have to find the factors of both numbers and list the highest common factor.

The factors of 358 are 1, 2, 179, 358

The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

The HCF of 358,528 is 2.

Lets's calculate GCF of 358,528

Greatest Common Factor (GCF) of 358,528 By Common Division

2	358, 528
	179, 264

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

Greatest Common Factor of 358,528 By Matching Biggest Common Factor Method

Now, list down the factors of 358

1,2,179,358

Now, list down the factors of 528

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 358,528 . The biggest common factor number is the GCF number.
So the greatest common factor 358,528 is 2.

Lets's calculate LCM of 274,685

Lowest Common Multiple of 274,685 using Common Division

137	274, 685
	2, 5

∴ So the LCM of the given numbers is 137 x 2 x 5 = 1370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1370

Therefore, the GCF of Fractions 358/274,528/685 is 2/1370

Least Common Multiple of 274,685 with GCF Formula

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

We need to calculate greatest common factor of 274,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,685) = 137

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

GCF(274,685) x common factors =137 x 1 = 137

LCM(274,685) = ( 274 × 685 ) / 137

LCM(274,685) = 187690 / 137

LCM(274,685) = 1370

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FAQs on GCF of Fractions of 358/274, 528/685

1. What is the HCF of 358,528?

The HCF of 358,528 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 358/274, 528/685?

Answer: GCF of Numerators as per given numbers 358/274, 528/685 is

GCF of Numerators i.e. for 358,528 is 2

LCM of denominators i.e. for 274,685 is 1370.

Thus, GCF of Fractions is 2/1370.Finally, GCF of Fractions for 358/274, 528/685 is 2/1370.