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GCF of 975/92, 100/329

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 975/92, 100/329 i.e 25/30268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 975/92, 100/329.

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 975/92,100/329?

Given fractions are 975/92,100/329

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 975/92,100/329, numerators are 975,100

Denominators are 92,329

The GCF of 975,100 is 25 .

LCM of 92,329 is 30268.

The greatest common factor of 975/92,100/329 = [GCF of 975,100]/[LCM of 92,329]= 25/30268

Therefore, the GCF of 975/92,100/329 is 25/30268.

Greatest Common Factor of 975,100

To find the highest common factor of 975,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 975,100 is 25.

Lets's calculate GCF of 975,100

Greatest Common Factor (GCF) of 975,100 By Common Division

5 975, 100
5 195, 20
39, 4

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 975,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,100 By Matching Biggest Common Factor Method

Now, list down the factors of 975

:

1,3,5,13,15,25,39,65,75,195,325,975

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 975,100 . The biggest common factor number is the GCF number.
So the greatest common factor 975,100 is 25.

Lets's calculate LCM of 92,329

Lowest Common Multiple of 92,329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/30268

Therefore, the GCF of Fractions 975/92,100/329 is 25/30268

Least Common Multiple of 92,329 with GCF Formula

Least Common Multiple of 92,329 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 92,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,329) = 1

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

GCF(92,329) x common factors =1 x 1 = 1

LCM(92,329) = ( 92 × 329 ) / 1

LCM(92,329) = 30268 / 1

LCM(92,329) = 30268


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 975/92, 100/329

1. What is the HCF of 975,100?

The HCF of 975,100 is 25

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 975/92, 100/329?

Answer: GCF of Numerators as per given numbers 975/92, 100/329 is

GCF of Numerators i.e. for 975,100 is 25

LCM of denominators i.e. for 92,329 is 30268.

Thus, GCF of Fractions is 25/30268.Finally, GCF of Fractions for 975/92, 100/329 is 25/30268.