How to Find GCF of 57/786, 1526/9244?

GCF of 57/786, 1526/9244

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 57/786, 1526/9244 i.e 1/3632892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/786, 1526/9244.

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 57/786,1526/9244?

Given fractions are 57/786,1526/9244

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 57/786,1526/9244, numerators are 57,1526

Denominators are 786,9244

The GCF of 57,1526 is 1 .

LCM of 786,9244 is 3632892.

The greatest common factor of 57/786,1526/9244 = [GCF of 57,1526]/[LCM of 786,9244]= 1/3632892

Therefore, the GCF of 57/786,1526/9244 is 1/3632892.

Greatest Common Factor of 57,1526

To find the highest common factor of 57,1526, we have to find the factors of both numbers and list the highest common factor.

The factors of 57 are 1, 3, 19, 57

The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526

The HCF of 57,1526 is 1.

Lets's calculate GCF of 57,1526

Greatest Common Factor (GCF) of 57,1526 By Common Division

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

Greatest Common Factor of 57,1526 By Matching Biggest Common Factor Method

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 1526

1,2,7,14,109,218,763,1526

Greatest Common Factor

We found the factors 57,1526 . The biggest common factor number is the GCF number.
So the greatest common factor 57,1526 is 1.

Lets's calculate LCM of 786,9244

Lowest Common Multiple of 786,9244 using Common Division

2	786, 9244
	393, 4622

∴ So the LCM of the given numbers is 2 x 393 x 4622 = 3632892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3632892

Therefore, the GCF of Fractions 57/786,1526/9244 is 1/3632892

Least Common Multiple of 786,9244 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 786,9244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,9244) = 2

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

GCF(786,9244) x common factors =2 x 1 = 2

LCM(786,9244) = ( 786 × 9244 ) / 2

LCM(786,9244) = 7265784 / 2

LCM(786,9244) = 3632892

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FAQs on GCF of Fractions of 57/786, 1526/9244

1. What is the HCF of 57,1526?

The HCF of 57,1526 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 57/786, 1526/9244?

Answer: GCF of Numerators as per given numbers 57/786, 1526/9244 is

GCF of Numerators i.e. for 57,1526 is 1

LCM of denominators i.e. for 786,9244 is 3632892.

Thus, GCF of Fractions is 1/3632892.Finally, GCF of Fractions for 57/786, 1526/9244 is 1/3632892.