How to Find GCF of 2554/527, 9623/7160?

GCF of 2554/527, 9623/7160

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 2554/527, 9623/7160 i.e 1/3773320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2554/527, 9623/7160.

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 2554/527,9623/7160?

Given fractions are 2554/527,9623/7160

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 2554/527,9623/7160, numerators are 2554,9623

Denominators are 527,7160

The GCF of 2554,9623 is 1 .

LCM of 527,7160 is 3773320.

The greatest common factor of 2554/527,9623/7160 = [GCF of 2554,9623]/[LCM of 527,7160]= 1/3773320

Therefore, the GCF of 2554/527,9623/7160 is 1/3773320.

Greatest Common Factor of 2554,9623

To find the highest common factor of 2554,9623, we have to find the factors of both numbers and list the highest common factor.

The factors of 2554 are 1, 2, 1277, 2554

The factors of 9623 are 1, 9623

The HCF of 2554,9623 is 1.

Lets's calculate GCF of 2554,9623

Greatest Common Factor (GCF) of 2554,9623 By Common Division

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

Greatest Common Factor of 2554,9623 By Matching Biggest Common Factor Method

Now, list down the factors of 2554

1,2,1277,2554

Now, list down the factors of 9623

1,9623

Greatest Common Factor

We found the factors 2554,9623 . The biggest common factor number is the GCF number.
So the greatest common factor 2554,9623 is 1.

Lets's calculate LCM of 527,7160

Lowest Common Multiple of 527,7160 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3773320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3773320

Therefore, the GCF of Fractions 2554/527,9623/7160 is 1/3773320

Least Common Multiple of 527,7160 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 527,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,7160) = 1

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

GCF(527,7160) x common factors =1 x 1 = 1

LCM(527,7160) = ( 527 × 7160 ) / 1

LCM(527,7160) = 3773320 / 1

LCM(527,7160) = 3773320

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FAQs on GCF of Fractions of 2554/527, 9623/7160

1. What is the HCF of 2554,9623?

The HCF of 2554,9623 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 2554/527, 9623/7160?

Answer: GCF of Numerators as per given numbers 2554/527, 9623/7160 is

GCF of Numerators i.e. for 2554,9623 is 1

LCM of denominators i.e. for 527,7160 is 3773320.

Thus, GCF of Fractions is 1/3773320.Finally, GCF of Fractions for 2554/527, 9623/7160 is 1/3773320.