How to Find GCF of 2425/756, 5059/8420?

GCF of 2425/756, 5059/8420

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 2425/756, 5059/8420 i.e 1/1591380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2425/756, 5059/8420.

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 2425/756,5059/8420?

Given fractions are 2425/756,5059/8420

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 2425/756,5059/8420, numerators are 2425,5059

Denominators are 756,8420

The GCF of 2425,5059 is 1 .

LCM of 756,8420 is 1591380.

The greatest common factor of 2425/756,5059/8420 = [GCF of 2425,5059]/[LCM of 756,8420]= 1/1591380

Therefore, the GCF of 2425/756,5059/8420 is 1/1591380.

Greatest Common Factor of 2425,5059

To find the highest common factor of 2425,5059, we have to find the factors of both numbers and list the highest common factor.

The factors of 2425 are 1, 5, 25, 97, 485, 2425

The factors of 5059 are 1, 5059

The HCF of 2425,5059 is 1.

Lets's calculate GCF of 2425,5059

Greatest Common Factor (GCF) of 2425,5059 By Common Division

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

Greatest Common Factor of 2425,5059 By Matching Biggest Common Factor Method

Now, list down the factors of 2425

1,5,25,97,485,2425

Now, list down the factors of 5059

1,5059

Greatest Common Factor

We found the factors 2425,5059 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,5059 is 1.

Lets's calculate LCM of 756,8420

Lowest Common Multiple of 756,8420 using Common Division

2	756, 8420
2	378, 4210
	189, 2105

∴ So the LCM of the given numbers is 2 x 2 x 189 x 2105 = 1591380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1591380

Therefore, the GCF of Fractions 2425/756,5059/8420 is 1/1591380

Least Common Multiple of 756,8420 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 756,8420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,8420) = 4

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

GCF(756,8420) x common factors =4 x 1 = 4

LCM(756,8420) = ( 756 × 8420 ) / 4

LCM(756,8420) = 6365520 / 4

LCM(756,8420) = 1591380

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FAQs on GCF of Fractions of 2425/756, 5059/8420

1. What is the HCF of 2425,5059?

The HCF of 2425,5059 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 2425/756, 5059/8420?

Answer: GCF of Numerators as per given numbers 2425/756, 5059/8420 is

GCF of Numerators i.e. for 2425,5059 is 1

LCM of denominators i.e. for 756,8420 is 1591380.

Thus, GCF of Fractions is 1/1591380.Finally, GCF of Fractions for 2425/756, 5059/8420 is 1/1591380.