How to Find GCF of 5477/128, 9251/5760?

GCF of 5477/128, 9251/5760

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 5477/128, 9251/5760 i.e 1/5760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5477/128, 9251/5760.

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 5477/128,9251/5760?

Given fractions are 5477/128,9251/5760

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 5477/128,9251/5760, numerators are 5477,9251

Denominators are 128,5760

The GCF of 5477,9251 is 1 .

LCM of 128,5760 is 5760.

The greatest common factor of 5477/128,9251/5760 = [GCF of 5477,9251]/[LCM of 128,5760]= 1/5760

Therefore, the GCF of 5477/128,9251/5760 is 1/5760.

Greatest Common Factor of 5477,9251

To find the highest common factor of 5477,9251, we have to find the factors of both numbers and list the highest common factor.

The factors of 5477 are 1, 5477

The factors of 9251 are 1, 11, 29, 319, 841, 9251

The HCF of 5477,9251 is 1.

Lets's calculate GCF of 5477,9251

Greatest Common Factor (GCF) of 5477,9251 By Common Division

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

Greatest Common Factor of 5477,9251 By Matching Biggest Common Factor Method

Now, list down the factors of 5477

1,5477

Now, list down the factors of 9251

1,11,29,319,841,9251

Greatest Common Factor

We found the factors 5477,9251 . The biggest common factor number is the GCF number.
So the greatest common factor 5477,9251 is 1.

Lets's calculate LCM of 128,5760

Lowest Common Multiple of 128,5760 using Common Division

2	128, 5760
2	64, 2880
2	32, 1440
2	16, 720
2	8, 360
2	4, 180
2	2, 90
	1, 45

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1 x 45 = 5760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5760

Therefore, the GCF of Fractions 5477/128,9251/5760 is 1/5760

Least Common Multiple of 128,5760 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 128,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,5760) = 128

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

GCF(128,5760) x common factors =128 x 1 = 128

LCM(128,5760) = ( 128 × 5760 ) / 128

LCM(128,5760) = 737280 / 128

LCM(128,5760) = 5760

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FAQs on GCF of Fractions of 5477/128, 9251/5760

1. What is the HCF of 5477,9251?

The HCF of 5477,9251 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 5477/128, 9251/5760?

Answer: GCF of Numerators as per given numbers 5477/128, 9251/5760 is

GCF of Numerators i.e. for 5477,9251 is 1

LCM of denominators i.e. for 128,5760 is 5760.

Thus, GCF of Fractions is 1/5760.Finally, GCF of Fractions for 5477/128, 9251/5760 is 1/5760.