How to Find GCF of 7077/536, 2355/5672?

GCF of 7077/536, 2355/5672

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 7077/536, 2355/5672 i.e 3/380024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7077/536, 2355/5672.

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 7077/536,2355/5672?

Given fractions are 7077/536,2355/5672

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 7077/536,2355/5672, numerators are 7077,2355

Denominators are 536,5672

The GCF of 7077,2355 is 3 .

LCM of 536,5672 is 380024.

The greatest common factor of 7077/536,2355/5672 = [GCF of 7077,2355]/[LCM of 536,5672]= 3/380024

Therefore, the GCF of 7077/536,2355/5672 is 3/380024.

Greatest Common Factor of 7077,2355

To find the highest common factor of 7077,2355, we have to find the factors of both numbers and list the highest common factor.

The factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077

The factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355

The HCF of 7077,2355 is 3.

Lets's calculate GCF of 7077,2355

Greatest Common Factor (GCF) of 7077,2355 By Common Division

3	7077, 2355
	2359, 785

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7077,2355 By Matching Biggest Common Factor Method

Now, list down the factors of 7077

1,3,7,21,337,1011,2359,7077

Now, list down the factors of 2355

1,3,5,15,157,471,785,2355

Greatest Common Factor

We found the factors 7077,2355 . The biggest common factor number is the GCF number.
So the greatest common factor 7077,2355 is 3.

Lets's calculate LCM of 536,5672

Lowest Common Multiple of 536,5672 using Common Division

2	536, 5672
2	268, 2836
2	134, 1418
	67, 709

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 709 = 380024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/380024

Therefore, the GCF of Fractions 7077/536,2355/5672 is 3/380024

Least Common Multiple of 536,5672 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 536,5672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,5672) = 8

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

GCF(536,5672) x common factors =8 x 1 = 8

LCM(536,5672) = ( 536 × 5672 ) / 8

LCM(536,5672) = 3040192 / 8

LCM(536,5672) = 380024

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FAQs on GCF of Fractions of 7077/536, 2355/5672

1. What is the HCF of 7077,2355?

The HCF of 7077,2355 is 3

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 7077/536, 2355/5672?

Answer: GCF of Numerators as per given numbers 7077/536, 2355/5672 is

GCF of Numerators i.e. for 7077,2355 is 3

LCM of denominators i.e. for 536,5672 is 380024.

Thus, GCF of Fractions is 3/380024.Finally, GCF of Fractions for 7077/536, 2355/5672 is 3/380024.