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GCF of 2525/661, 1097/650

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 2525/661, 1097/650 i.e 1/429650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2525/661, 1097/650.

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 2525/661,1097/650?

Given fractions are 2525/661,1097/650

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 2525/661,1097/650, numerators are 2525,1097

Denominators are 661,650

The GCF of 2525,1097 is 1 .

LCM of 661,650 is 429650.

The greatest common factor of 2525/661,1097/650 = [GCF of 2525,1097]/[LCM of 661,650]= 1/429650

Therefore, the GCF of 2525/661,1097/650 is 1/429650.

Greatest Common Factor of 2525,1097

To find the highest common factor of 2525,1097, we have to find the factors of both numbers and list the highest common factor.

The factors of 2525 are 1, 5, 25, 101, 505, 2525

The factors of 1097 are 1, 1097

The HCF of 2525,1097 is 1.

Lets's calculate GCF of 2525,1097

Greatest Common Factor (GCF) of 2525,1097 By Common Division

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

Greatest Common Factor of 2525,1097 By Matching Biggest Common Factor Method

Greatest Common Factor of 2525,1097 By Matching Biggest Common Factor Method

Now, list down the factors of 2525

:

1,5,25,101,505,2525

Now, list down the factors of 1097

:

1,1097

Greatest Common Factor

We found the factors 2525,1097 . The biggest common factor number is the GCF number.
So the greatest common factor 2525,1097 is 1.

Lets's calculate LCM of 661,650

Lowest Common Multiple of 661,650 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 429650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429650

Therefore, the GCF of Fractions 2525/661,1097/650 is 1/429650

Least Common Multiple of 661,650 with GCF Formula

Least Common Multiple of 661,650 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 661,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,650) = 1

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

GCF(661,650) x common factors =1 x 1 = 1

LCM(661,650) = ( 661 × 650 ) / 1

LCM(661,650) = 429650 / 1

LCM(661,650) = 429650


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FAQs on GCF of Fractions of 2525/661, 1097/650

1. What is the HCF of 2525,1097?

The HCF of 2525,1097 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 2525/661, 1097/650?

Answer: GCF of Numerators as per given numbers 2525/661, 1097/650 is

GCF of Numerators i.e. for 2525,1097 is 1

LCM of denominators i.e. for 661,650 is 429650.

Thus, GCF of Fractions is 1/429650.Finally, GCF of Fractions for 2525/661, 1097/650 is 1/429650.