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GCF of 875/32, 492/148

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 875/32, 492/148 i.e 1/1184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/32, 492/148.

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 875/32,492/148?

Given fractions are 875/32,492/148

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 875/32,492/148, numerators are 875,492

Denominators are 32,148

The GCF of 875,492 is 1 .

LCM of 32,148 is 1184.

The greatest common factor of 875/32,492/148 = [GCF of 875,492]/[LCM of 32,148]= 1/1184

Therefore, the GCF of 875/32,492/148 is 1/1184.

Greatest Common Factor of 875,492

To find the highest common factor of 875,492, 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 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

The HCF of 875,492 is 1.

Lets's calculate GCF of 875,492

Greatest Common Factor (GCF) of 875,492 By Common Division

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

Greatest Common Factor of 875,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,492 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 492

:

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 875,492 . The biggest common factor number is the GCF number.
So the greatest common factor 875,492 is 1.

Lets's calculate LCM of 32,148

Lowest Common Multiple of 32,148 using Common Division

2 32, 148
2 16, 74
8, 37

∴ So the LCM of the given numbers is 2 x 2 x 8 x 37 = 1184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1184

Therefore, the GCF of Fractions 875/32,492/148 is 1/1184

Least Common Multiple of 32,148 with GCF Formula

Least Common Multiple of 32,148 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 32,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,148) = 4

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

GCF(32,148) x common factors =4 x 1 = 4

LCM(32,148) = ( 32 × 148 ) / 4

LCM(32,148) = 4736 / 4

LCM(32,148) = 1184


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FAQs on GCF of Fractions of 875/32, 492/148

1. What is the HCF of 875,492?

The HCF of 875,492 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 875/32, 492/148?

Answer: GCF of Numerators as per given numbers 875/32, 492/148 is

GCF of Numerators i.e. for 875,492 is 1

LCM of denominators i.e. for 32,148 is 1184.

Thus, GCF of Fractions is 1/1184.Finally, GCF of Fractions for 875/32, 492/148 is 1/1184.