How to Find GCF of 4277/725, 4367/7508?

GCF of 4277/725, 4367/7508

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 4277/725, 4367/7508 i.e 1/5443300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4277/725, 4367/7508.

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 4277/725,4367/7508?

Given fractions are 4277/725,4367/7508

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 4277/725,4367/7508, numerators are 4277,4367

Denominators are 725,7508

The GCF of 4277,4367 is 1 .

LCM of 725,7508 is 5443300.

The greatest common factor of 4277/725,4367/7508 = [GCF of 4277,4367]/[LCM of 725,7508]= 1/5443300

Therefore, the GCF of 4277/725,4367/7508 is 1/5443300.

Greatest Common Factor of 4277,4367

To find the highest common factor of 4277,4367, we have to find the factors of both numbers and list the highest common factor.

The factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277

The factors of 4367 are 1, 11, 397, 4367

The HCF of 4277,4367 is 1.

Lets's calculate GCF of 4277,4367

Greatest Common Factor (GCF) of 4277,4367 By Common Division

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

Greatest Common Factor of 4277,4367 By Matching Biggest Common Factor Method

Now, list down the factors of 4277

1,7,13,47,91,329,611,4277

Now, list down the factors of 4367

1,11,397,4367

Greatest Common Factor

We found the factors 4277,4367 . The biggest common factor number is the GCF number.
So the greatest common factor 4277,4367 is 1.

Lets's calculate LCM of 725,7508

Lowest Common Multiple of 725,7508 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5443300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5443300

Therefore, the GCF of Fractions 4277/725,4367/7508 is 1/5443300

Least Common Multiple of 725,7508 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 725,7508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,7508) = 1

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

GCF(725,7508) x common factors =1 x 1 = 1

LCM(725,7508) = ( 725 × 7508 ) / 1

LCM(725,7508) = 5443300 / 1

LCM(725,7508) = 5443300

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FAQs on GCF of Fractions of 4277/725, 4367/7508

1. What is the HCF of 4277,4367?

The HCF of 4277,4367 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 4277/725, 4367/7508?

Answer: GCF of Numerators as per given numbers 4277/725, 4367/7508 is

GCF of Numerators i.e. for 4277,4367 is 1

LCM of denominators i.e. for 725,7508 is 5443300.

Thus, GCF of Fractions is 1/5443300.Finally, GCF of Fractions for 4277/725, 4367/7508 is 1/5443300.