How to Find GCF of 785/520, 2277/568?

GCF of 785/520, 2277/568

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 785/520, 2277/568 i.e 1/36920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 785/520, 2277/568.

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 785/520,2277/568?

Given fractions are 785/520,2277/568

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 785/520,2277/568, numerators are 785,2277

Denominators are 520,568

The GCF of 785,2277 is 1 .

LCM of 520,568 is 36920.

The greatest common factor of 785/520,2277/568 = [GCF of 785,2277]/[LCM of 520,568]= 1/36920

Therefore, the GCF of 785/520,2277/568 is 1/36920.

Greatest Common Factor of 785,2277

To find the highest common factor of 785,2277, we have to find the factors of both numbers and list the highest common factor.

The factors of 785 are 1, 5, 157, 785

The factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277

The HCF of 785,2277 is 1.

Lets's calculate GCF of 785,2277

Greatest Common Factor (GCF) of 785,2277 By Common Division

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

Greatest Common Factor of 785,2277 By Matching Biggest Common Factor Method

Now, list down the factors of 785

1,5,157,785

Now, list down the factors of 2277

1,3,9,11,23,33,69,99,207,253,759,2277

Greatest Common Factor

We found the factors 785,2277 . The biggest common factor number is the GCF number.
So the greatest common factor 785,2277 is 1.

Lets's calculate LCM of 520,568

Lowest Common Multiple of 520,568 using Common Division

2	520, 568
2	260, 284
2	130, 142
	65, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 71 = 36920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36920

Therefore, the GCF of Fractions 785/520,2277/568 is 1/36920

Least Common Multiple of 520,568 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 520,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,568) = 8

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

GCF(520,568) x common factors =8 x 1 = 8

LCM(520,568) = ( 520 × 568 ) / 8

LCM(520,568) = 295360 / 8

LCM(520,568) = 36920

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FAQs on GCF of Fractions of 785/520, 2277/568

1. What is the HCF of 785,2277?

The HCF of 785,2277 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 785/520, 2277/568?

Answer: GCF of Numerators as per given numbers 785/520, 2277/568 is

GCF of Numerators i.e. for 785,2277 is 1

LCM of denominators i.e. for 520,568 is 36920.

Thus, GCF of Fractions is 1/36920.Finally, GCF of Fractions for 785/520, 2277/568 is 1/36920.