How to Find GCF of 425/400, 688/936?

GCF of 425/400, 688/936

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 425/400, 688/936 i.e 1/46800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/400, 688/936.

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 425/400,688/936?

Given fractions are 425/400,688/936

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 425/400,688/936, numerators are 425,688

Denominators are 400,936

The GCF of 425,688 is 1 .

LCM of 400,936 is 46800.

The greatest common factor of 425/400,688/936 = [GCF of 425,688]/[LCM of 400,936]= 1/46800

Therefore, the GCF of 425/400,688/936 is 1/46800.

Greatest Common Factor of 425,688

To find the highest common factor of 425,688, we have to find the factors of both numbers and list the highest common factor.

The factors of 425 are 1, 5, 17, 25, 85, 425

The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

The HCF of 425,688 is 1.

Lets's calculate GCF of 425,688

Greatest Common Factor (GCF) of 425,688 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 425,688 By Matching Biggest Common Factor Method

Now, list down the factors of 425

1,5,17,25,85,425

Now, list down the factors of 688

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 425,688 . The biggest common factor number is the GCF number.
So the greatest common factor 425,688 is 1.

Lets's calculate LCM of 400,936

Lowest Common Multiple of 400,936 using Common Division

2	400, 936
2	200, 468
2	100, 234
	50, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 50 x 117 = 46800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46800

Therefore, the GCF of Fractions 425/400,688/936 is 1/46800

Least Common Multiple of 400,936 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 400,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,936) = 8

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

GCF(400,936) x common factors =8 x 1 = 8

LCM(400,936) = ( 400 × 936 ) / 8

LCM(400,936) = 374400 / 8

LCM(400,936) = 46800

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FAQs on GCF of Fractions of 425/400, 688/936

1. What is the HCF of 425,688?

The HCF of 425,688 is 1

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 425/400, 688/936?

Answer: GCF of Numerators as per given numbers 425/400, 688/936 is

GCF of Numerators i.e. for 425,688 is 1

LCM of denominators i.e. for 400,936 is 46800.

Thus, GCF of Fractions is 1/46800.Finally, GCF of Fractions for 425/400, 688/936 is 1/46800.