How to Find GCF of 2753/625, 7748/3778?

GCF of 2753/625, 7748/3778

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 2753/625, 7748/3778 i.e 1/2361250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2753/625, 7748/3778.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2753/625,7748/3778?

Given fractions are 2753/625,7748/3778

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 2753/625,7748/3778, numerators are 2753,7748

Denominators are 625,3778

The GCF of 2753,7748 is 1 .

LCM of 625,3778 is 2361250.

The greatest common factor of 2753/625,7748/3778 = [GCF of 2753,7748]/[LCM of 625,3778]= 1/2361250

Therefore, the GCF of 2753/625,7748/3778 is 1/2361250.

Greatest Common Factor of 2753,7748

To find the highest common factor of 2753,7748, we have to find the factors of both numbers and list the highest common factor.

The factors of 2753 are 1, 2753

The factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748

The HCF of 2753,7748 is 1.

Lets's calculate GCF of 2753,7748

Greatest Common Factor (GCF) of 2753,7748 By Common Division

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

Greatest Common Factor of 2753,7748 By Matching Biggest Common Factor Method

Now, list down the factors of 2753

1,2753

Now, list down the factors of 7748

1,2,4,13,26,52,149,298,596,1937,3874,7748

Greatest Common Factor

We found the factors 2753,7748 . The biggest common factor number is the GCF number.
So the greatest common factor 2753,7748 is 1.

Lets's calculate LCM of 625,3778

Lowest Common Multiple of 625,3778 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2361250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2361250

Therefore, the GCF of Fractions 2753/625,7748/3778 is 1/2361250

Least Common Multiple of 625,3778 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 625,3778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,3778) = 1

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

GCF(625,3778) x common factors =1 x 1 = 1

LCM(625,3778) = ( 625 × 3778 ) / 1

LCM(625,3778) = 2361250 / 1

LCM(625,3778) = 2361250

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FAQs on GCF of Fractions of 2753/625, 7748/3778

1. What is the HCF of 2753,7748?

The HCF of 2753,7748 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 2753/625, 7748/3778?

Answer: GCF of Numerators as per given numbers 2753/625, 7748/3778 is

GCF of Numerators i.e. for 2753,7748 is 1

LCM of denominators i.e. for 625,3778 is 2361250.

Thus, GCF of Fractions is 1/2361250.Finally, GCF of Fractions for 2753/625, 7748/3778 is 1/2361250.