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GCF of 2525/891, 3385/254

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 2525/891, 3385/254 i.e 5/226314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2525/891, 3385/254.

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 2525/891,3385/254?

Given fractions are 2525/891,3385/254

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 2525/891,3385/254, numerators are 2525,3385

Denominators are 891,254

The GCF of 2525,3385 is 5 .

LCM of 891,254 is 226314.

The greatest common factor of 2525/891,3385/254 = [GCF of 2525,3385]/[LCM of 891,254]= 5/226314

Therefore, the GCF of 2525/891,3385/254 is 5/226314.

Greatest Common Factor of 2525,3385

To find the highest common factor of 2525,3385, 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 3385 are 1, 5, 677, 3385

The HCF of 2525,3385 is 5.

Lets's calculate GCF of 2525,3385

Greatest Common Factor (GCF) of 2525,3385 By Common Division

5 2525, 3385
505, 677

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

Greatest Common Factor of 2525,3385 By Matching Biggest Common Factor Method

Greatest Common Factor of 2525,3385 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 3385

:

1,5,677,3385

Greatest Common Factor

We found the factors 2525,3385 . The biggest common factor number is the GCF number.
So the greatest common factor 2525,3385 is 5.

Lets's calculate LCM of 891,254

Lowest Common Multiple of 891,254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 226314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/226314

Therefore, the GCF of Fractions 2525/891,3385/254 is 5/226314

Least Common Multiple of 891,254 with GCF Formula

Least Common Multiple of 891,254 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 891,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,254) = 1

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

GCF(891,254) x common factors =1 x 1 = 1

LCM(891,254) = ( 891 × 254 ) / 1

LCM(891,254) = 226314 / 1

LCM(891,254) = 226314


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FAQs on GCF of Fractions of 2525/891, 3385/254

1. What is the HCF of 2525,3385?

The HCF of 2525,3385 is 5

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 2525/891, 3385/254?

Answer: GCF of Numerators as per given numbers 2525/891, 3385/254 is

GCF of Numerators i.e. for 2525,3385 is 5

LCM of denominators i.e. for 891,254 is 226314.

Thus, GCF of Fractions is 5/226314.Finally, GCF of Fractions for 2525/891, 3385/254 is 5/226314.