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GCF of 5231/480, 5545/374

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 5231/480, 5545/374 i.e 1/89760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5231/480, 5545/374.

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 5231/480,5545/374?

Given fractions are 5231/480,5545/374

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 5231/480,5545/374, numerators are 5231,5545

Denominators are 480,374

The GCF of 5231,5545 is 1 .

LCM of 480,374 is 89760.

The greatest common factor of 5231/480,5545/374 = [GCF of 5231,5545]/[LCM of 480,374]= 1/89760

Therefore, the GCF of 5231/480,5545/374 is 1/89760.

Greatest Common Factor of 5231,5545

To find the highest common factor of 5231,5545, we have to find the factors of both numbers and list the highest common factor.

The factors of 5231 are 1, 5231

The factors of 5545 are 1, 5, 1109, 5545

The HCF of 5231,5545 is 1.

Lets's calculate GCF of 5231,5545

Greatest Common Factor (GCF) of 5231,5545 By Common Division

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

Greatest Common Factor of 5231,5545 By Matching Biggest Common Factor Method

Greatest Common Factor of 5231,5545 By Matching Biggest Common Factor Method

Now, list down the factors of 5231

:

1,5231

Now, list down the factors of 5545

:

1,5,1109,5545

Greatest Common Factor

We found the factors 5231,5545 . The biggest common factor number is the GCF number.
So the greatest common factor 5231,5545 is 1.

Lets's calculate LCM of 480,374

Lowest Common Multiple of 480,374 using Common Division

2 480, 374
240, 187

∴ So the LCM of the given numbers is 2 x 240 x 187 = 89760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89760

Therefore, the GCF of Fractions 5231/480,5545/374 is 1/89760

Least Common Multiple of 480,374 with GCF Formula

Least Common Multiple of 480,374 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 480,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,374) = 2

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

GCF(480,374) x common factors =2 x 1 = 2

LCM(480,374) = ( 480 × 374 ) / 2

LCM(480,374) = 179520 / 2

LCM(480,374) = 89760


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FAQs on GCF of Fractions of 5231/480, 5545/374

1. What is the HCF of 5231,5545?

The HCF of 5231,5545 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 5231/480, 5545/374?

Answer: GCF of Numerators as per given numbers 5231/480, 5545/374 is

GCF of Numerators i.e. for 5231,5545 is 1

LCM of denominators i.e. for 480,374 is 89760.

Thus, GCF of Fractions is 1/89760.Finally, GCF of Fractions for 5231/480, 5545/374 is 1/89760.