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GCF of 875/688, 423/900

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 875/688, 423/900 i.e 1/154800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/688, 423/900.

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 875/688,423/900?

Given fractions are 875/688,423/900

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 875/688,423/900, numerators are 875,423

Denominators are 688,900

The GCF of 875,423 is 1 .

LCM of 688,900 is 154800.

The greatest common factor of 875/688,423/900 = [GCF of 875,423]/[LCM of 688,900]= 1/154800

Therefore, the GCF of 875/688,423/900 is 1/154800.

Greatest Common Factor of 875,423

To find the highest common factor of 875,423, we have to find the factors of both numbers and list the highest common factor.

The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875

The factors of 423 are 1, 3, 9, 47, 141, 423

The HCF of 875,423 is 1.

Lets's calculate GCF of 875,423

Greatest Common Factor (GCF) of 875,423 By Common Division

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

Greatest Common Factor of 875,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,423 By Matching Biggest Common Factor Method

Now, list down the factors of 875

:

1,5,7,25,35,125,175,875

Now, list down the factors of 423

:

1,3,9,47,141,423

Greatest Common Factor

We found the factors 875,423 . The biggest common factor number is the GCF number.
So the greatest common factor 875,423 is 1.

Lets's calculate LCM of 688,900

Lowest Common Multiple of 688,900 using Common Division

2 688, 900
2 344, 450
172, 225

∴ So the LCM of the given numbers is 2 x 2 x 172 x 225 = 154800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154800

Therefore, the GCF of Fractions 875/688,423/900 is 1/154800

Least Common Multiple of 688,900 with GCF Formula

Least Common Multiple of 688,900 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 688,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,900) = 4

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

GCF(688,900) x common factors =4 x 1 = 4

LCM(688,900) = ( 688 × 900 ) / 4

LCM(688,900) = 619200 / 4

LCM(688,900) = 154800


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FAQs on GCF of Fractions of 875/688, 423/900

1. What is the HCF of 875,423?

The HCF of 875,423 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 875/688, 423/900?

Answer: GCF of Numerators as per given numbers 875/688, 423/900 is

GCF of Numerators i.e. for 875,423 is 1

LCM of denominators i.e. for 688,900 is 154800.

Thus, GCF of Fractions is 1/154800.Finally, GCF of Fractions for 875/688, 423/900 is 1/154800.