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GCF of 5638/180, 8753/9248

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 5638/180, 8753/9248 i.e 1/416160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5638/180, 8753/9248.

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 5638/180,8753/9248?

Given fractions are 5638/180,8753/9248

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 5638/180,8753/9248, numerators are 5638,8753

Denominators are 180,9248

The GCF of 5638,8753 is 1 .

LCM of 180,9248 is 416160.

The greatest common factor of 5638/180,8753/9248 = [GCF of 5638,8753]/[LCM of 180,9248]= 1/416160

Therefore, the GCF of 5638/180,8753/9248 is 1/416160.

Greatest Common Factor of 5638,8753

To find the highest common factor of 5638,8753, we have to find the factors of both numbers and list the highest common factor.

The factors of 5638 are 1, 2, 2819, 5638

The factors of 8753 are 1, 8753

The HCF of 5638,8753 is 1.

Lets's calculate GCF of 5638,8753

Greatest Common Factor (GCF) of 5638,8753 By Common Division

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

Greatest Common Factor of 5638,8753 By Matching Biggest Common Factor Method

Greatest Common Factor of 5638,8753 By Matching Biggest Common Factor Method

Now, list down the factors of 5638

:

1,2,2819,5638

Now, list down the factors of 8753

:

1,8753

Greatest Common Factor

We found the factors 5638,8753 . The biggest common factor number is the GCF number.
So the greatest common factor 5638,8753 is 1.

Lets's calculate LCM of 180,9248

Lowest Common Multiple of 180,9248 using Common Division

2 180, 9248
2 90, 4624
45, 2312

∴ So the LCM of the given numbers is 2 x 2 x 45 x 2312 = 416160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416160

Therefore, the GCF of Fractions 5638/180,8753/9248 is 1/416160

Least Common Multiple of 180,9248 with GCF Formula

Least Common Multiple of 180,9248 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 180,9248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,9248) = 4

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

GCF(180,9248) x common factors =4 x 1 = 4

LCM(180,9248) = ( 180 × 9248 ) / 4

LCM(180,9248) = 1664640 / 4

LCM(180,9248) = 416160


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FAQs on GCF of Fractions of 5638/180, 8753/9248

1. What is the HCF of 5638,8753?

The HCF of 5638,8753 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 5638/180, 8753/9248?

Answer: GCF of Numerators as per given numbers 5638/180, 8753/9248 is

GCF of Numerators i.e. for 5638,8753 is 1

LCM of denominators i.e. for 180,9248 is 416160.

Thus, GCF of Fractions is 1/416160.Finally, GCF of Fractions for 5638/180, 8753/9248 is 1/416160.