How to Find GCF of 2455/975, 6313/7772?

GCF of 2455/975, 6313/7772

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 2455/975, 6313/7772 i.e 1/7577700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2455/975, 6313/7772.

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 2455/975,6313/7772?

Given fractions are 2455/975,6313/7772

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 2455/975,6313/7772, numerators are 2455,6313

Denominators are 975,7772

The GCF of 2455,6313 is 1 .

LCM of 975,7772 is 7577700.

The greatest common factor of 2455/975,6313/7772 = [GCF of 2455,6313]/[LCM of 975,7772]= 1/7577700

Therefore, the GCF of 2455/975,6313/7772 is 1/7577700.

Greatest Common Factor of 2455,6313

To find the highest common factor of 2455,6313, we have to find the factors of both numbers and list the highest common factor.

The factors of 2455 are 1, 5, 491, 2455

The factors of 6313 are 1, 59, 107, 6313

The HCF of 2455,6313 is 1.

Lets's calculate GCF of 2455,6313

Greatest Common Factor (GCF) of 2455,6313 By Common Division

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

Greatest Common Factor of 2455,6313 By Matching Biggest Common Factor Method

Now, list down the factors of 2455

1,5,491,2455

Now, list down the factors of 6313

1,59,107,6313

Greatest Common Factor

We found the factors 2455,6313 . The biggest common factor number is the GCF number.
So the greatest common factor 2455,6313 is 1.

Lets's calculate LCM of 975,7772

Lowest Common Multiple of 975,7772 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7577700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7577700

Therefore, the GCF of Fractions 2455/975,6313/7772 is 1/7577700

Least Common Multiple of 975,7772 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 975,7772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,7772) = 1

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

GCF(975,7772) x common factors =1 x 1 = 1

LCM(975,7772) = ( 975 × 7772 ) / 1

LCM(975,7772) = 7577700 / 1

LCM(975,7772) = 7577700

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2455/975, 6313/7772

1. What is the HCF of 2455,6313?

The HCF of 2455,6313 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 2455/975, 6313/7772?

Answer: GCF of Numerators as per given numbers 2455/975, 6313/7772 is

GCF of Numerators i.e. for 2455,6313 is 1

LCM of denominators i.e. for 975,7772 is 7577700.

Thus, GCF of Fractions is 1/7577700.Finally, GCF of Fractions for 2455/975, 6313/7772 is 1/7577700.