How to Find GCF of 8516/210, 7765/569?

GCF of 8516/210, 7765/569

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 8516/210, 7765/569 i.e 1/119490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8516/210, 7765/569.

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 8516/210,7765/569?

Given fractions are 8516/210,7765/569

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 8516/210,7765/569, numerators are 8516,7765

Denominators are 210,569

The GCF of 8516,7765 is 1 .

LCM of 210,569 is 119490.

The greatest common factor of 8516/210,7765/569 = [GCF of 8516,7765]/[LCM of 210,569]= 1/119490

Therefore, the GCF of 8516/210,7765/569 is 1/119490.

Greatest Common Factor of 8516,7765

To find the highest common factor of 8516,7765, we have to find the factors of both numbers and list the highest common factor.

The factors of 8516 are 1, 2, 4, 2129, 4258, 8516

The factors of 7765 are 1, 5, 1553, 7765

The HCF of 8516,7765 is 1.

Lets's calculate GCF of 8516,7765

Greatest Common Factor (GCF) of 8516,7765 By Common Division

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

Greatest Common Factor of 8516,7765 By Matching Biggest Common Factor Method

Now, list down the factors of 8516

1,2,4,2129,4258,8516

Now, list down the factors of 7765

1,5,1553,7765

Greatest Common Factor

We found the factors 8516,7765 . The biggest common factor number is the GCF number.
So the greatest common factor 8516,7765 is 1.

Lets's calculate LCM of 210,569

Lowest Common Multiple of 210,569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 119490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119490

Therefore, the GCF of Fractions 8516/210,7765/569 is 1/119490

Least Common Multiple of 210,569 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 210,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,569) = 1

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

GCF(210,569) x common factors =1 x 1 = 1

LCM(210,569) = ( 210 × 569 ) / 1

LCM(210,569) = 119490 / 1

LCM(210,569) = 119490

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FAQs on GCF of Fractions of 8516/210, 7765/569

1. What is the HCF of 8516,7765?

The HCF of 8516,7765 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 8516/210, 7765/569?

Answer: GCF of Numerators as per given numbers 8516/210, 7765/569 is

GCF of Numerators i.e. for 8516,7765 is 1

LCM of denominators i.e. for 210,569 is 119490.

Thus, GCF of Fractions is 1/119490.Finally, GCF of Fractions for 8516/210, 7765/569 is 1/119490.