How to Find GCF of 7053/512, 4177/1920?

GCF of 7053/512, 4177/1920

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 7053/512, 4177/1920 i.e 1/7680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7053/512, 4177/1920.

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 7053/512,4177/1920?

Given fractions are 7053/512,4177/1920

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 7053/512,4177/1920, numerators are 7053,4177

Denominators are 512,1920

The GCF of 7053,4177 is 1 .

LCM of 512,1920 is 7680.

The greatest common factor of 7053/512,4177/1920 = [GCF of 7053,4177]/[LCM of 512,1920]= 1/7680

Therefore, the GCF of 7053/512,4177/1920 is 1/7680.

Greatest Common Factor of 7053,4177

To find the highest common factor of 7053,4177, we have to find the factors of both numbers and list the highest common factor.

The factors of 7053 are 1, 3, 2351, 7053

The factors of 4177 are 1, 4177

The HCF of 7053,4177 is 1.

Lets's calculate GCF of 7053,4177

Greatest Common Factor (GCF) of 7053,4177 By Common Division

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

Greatest Common Factor of 7053,4177 By Matching Biggest Common Factor Method

Now, list down the factors of 7053

1,3,2351,7053

Now, list down the factors of 4177

1,4177

Greatest Common Factor

We found the factors 7053,4177 . The biggest common factor number is the GCF number.
So the greatest common factor 7053,4177 is 1.

Lets's calculate LCM of 512,1920

Lowest Common Multiple of 512,1920 using Common Division

2	512, 1920
2	256, 960
2	128, 480
2	64, 240
2	32, 120
2	16, 60
2	8, 30
	4, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 4 x 15 = 7680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7680

Therefore, the GCF of Fractions 7053/512,4177/1920 is 1/7680

Least Common Multiple of 512,1920 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 512,1920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,1920) = 128

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

GCF(512,1920) x common factors =128 x 1 = 128

LCM(512,1920) = ( 512 × 1920 ) / 128

LCM(512,1920) = 983040 / 128

LCM(512,1920) = 7680

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FAQs on GCF of Fractions of 7053/512, 4177/1920

1. What is the HCF of 7053,4177?

The HCF of 7053,4177 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 7053/512, 4177/1920?

Answer: GCF of Numerators as per given numbers 7053/512, 4177/1920 is

GCF of Numerators i.e. for 7053,4177 is 1

LCM of denominators i.e. for 512,1920 is 7680.

Thus, GCF of Fractions is 1/7680.Finally, GCF of Fractions for 7053/512, 4177/1920 is 1/7680.