How to Find GCF of 7456/429, 7225/7543?

GCF of 7456/429, 7225/7543

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 7456/429, 7225/7543 i.e 1/3235947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7456/429, 7225/7543.

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 7456/429,7225/7543?

Given fractions are 7456/429,7225/7543

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 7456/429,7225/7543, numerators are 7456,7225

Denominators are 429,7543

The GCF of 7456,7225 is 1 .

LCM of 429,7543 is 3235947.

The greatest common factor of 7456/429,7225/7543 = [GCF of 7456,7225]/[LCM of 429,7543]= 1/3235947

Therefore, the GCF of 7456/429,7225/7543 is 1/3235947.

Greatest Common Factor of 7456,7225

To find the highest common factor of 7456,7225, we have to find the factors of both numbers and list the highest common factor.

The factors of 7456 are 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456

The factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225

The HCF of 7456,7225 is 1.

Lets's calculate GCF of 7456,7225

Greatest Common Factor (GCF) of 7456,7225 By Common Division

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

Greatest Common Factor of 7456,7225 By Matching Biggest Common Factor Method

Now, list down the factors of 7456

1,2,4,8,16,32,233,466,932,1864,3728,7456

Now, list down the factors of 7225

1,5,17,25,85,289,425,1445,7225

Greatest Common Factor

We found the factors 7456,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 7456,7225 is 1.

Lets's calculate LCM of 429,7543

Lowest Common Multiple of 429,7543 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3235947

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3235947

Therefore, the GCF of Fractions 7456/429,7225/7543 is 1/3235947

Least Common Multiple of 429,7543 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 429,7543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,7543) = 1

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

GCF(429,7543) x common factors =1 x 1 = 1

LCM(429,7543) = ( 429 × 7543 ) / 1

LCM(429,7543) = 3235947 / 1

LCM(429,7543) = 3235947

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FAQs on GCF of Fractions of 7456/429, 7225/7543

1. What is the HCF of 7456,7225?

The HCF of 7456,7225 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 7456/429, 7225/7543?

Answer: GCF of Numerators as per given numbers 7456/429, 7225/7543 is

GCF of Numerators i.e. for 7456,7225 is 1

LCM of denominators i.e. for 429,7543 is 3235947.

Thus, GCF of Fractions is 1/3235947.Finally, GCF of Fractions for 7456/429, 7225/7543 is 1/3235947.