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GCF of 7481/179, 2495/4438

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 7481/179, 2495/4438 i.e 1/794402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7481/179, 2495/4438.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7481/179,2495/4438?

Given fractions are 7481/179,2495/4438

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 7481/179,2495/4438, numerators are 7481,2495

Denominators are 179,4438

The GCF of 7481,2495 is 1 .

LCM of 179,4438 is 794402.

The greatest common factor of 7481/179,2495/4438 = [GCF of 7481,2495]/[LCM of 179,4438]= 1/794402

Therefore, the GCF of 7481/179,2495/4438 is 1/794402.

Greatest Common Factor of 7481,2495

To find the highest common factor of 7481,2495, we have to find the factors of both numbers and list the highest common factor.

The factors of 7481 are 1, 7481

The factors of 2495 are 1, 5, 499, 2495

The HCF of 7481,2495 is 1.

Lets's calculate GCF of 7481,2495

Greatest Common Factor (GCF) of 7481,2495 By Common Division

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

Greatest Common Factor of 7481,2495 By Matching Biggest Common Factor Method

Greatest Common Factor of 7481,2495 By Matching Biggest Common Factor Method

Now, list down the factors of 7481

:

1,7481

Now, list down the factors of 2495

:

1,5,499,2495

Greatest Common Factor

We found the factors 7481,2495 . The biggest common factor number is the GCF number.
So the greatest common factor 7481,2495 is 1.

Lets's calculate LCM of 179,4438

Lowest Common Multiple of 179,4438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 794402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/794402

Therefore, the GCF of Fractions 7481/179,2495/4438 is 1/794402

Least Common Multiple of 179,4438 with GCF Formula

Least Common Multiple of 179,4438 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 179,4438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,4438) = 1

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

GCF(179,4438) x common factors =1 x 1 = 1

LCM(179,4438) = ( 179 × 4438 ) / 1

LCM(179,4438) = 794402 / 1

LCM(179,4438) = 794402


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FAQs on GCF of Fractions of 7481/179, 2495/4438

1. What is the HCF of 7481,2495?

The HCF of 7481,2495 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 7481/179, 2495/4438?

Answer: GCF of Numerators as per given numbers 7481/179, 2495/4438 is

GCF of Numerators i.e. for 7481,2495 is 1

LCM of denominators i.e. for 179,4438 is 794402.

Thus, GCF of Fractions is 1/794402.Finally, GCF of Fractions for 7481/179, 2495/4438 is 1/794402.