How to Find GCF of 5077/562, 2840/8868?

GCF of 5077/562, 2840/8868

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 5077/562, 2840/8868 i.e 1/2491908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5077/562, 2840/8868.

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 5077/562,2840/8868?

Given fractions are 5077/562,2840/8868

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 5077/562,2840/8868, numerators are 5077,2840

Denominators are 562,8868

The GCF of 5077,2840 is 1 .

LCM of 562,8868 is 2491908.

The greatest common factor of 5077/562,2840/8868 = [GCF of 5077,2840]/[LCM of 562,8868]= 1/2491908

Therefore, the GCF of 5077/562,2840/8868 is 1/2491908.

Greatest Common Factor of 5077,2840

To find the highest common factor of 5077,2840, we have to find the factors of both numbers and list the highest common factor.

The factors of 5077 are 1, 5077

The factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840

The HCF of 5077,2840 is 1.

Lets's calculate GCF of 5077,2840

Greatest Common Factor (GCF) of 5077,2840 By Common Division

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

Greatest Common Factor of 5077,2840 By Matching Biggest Common Factor Method

Now, list down the factors of 5077

1,5077

Now, list down the factors of 2840

1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840

Greatest Common Factor

We found the factors 5077,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 5077,2840 is 1.

Lets's calculate LCM of 562,8868

Lowest Common Multiple of 562,8868 using Common Division

2	562, 8868
	281, 4434

∴ So the LCM of the given numbers is 2 x 281 x 4434 = 2491908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2491908

Therefore, the GCF of Fractions 5077/562,2840/8868 is 1/2491908

Least Common Multiple of 562,8868 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 562,8868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,8868) = 2

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

GCF(562,8868) x common factors =2 x 1 = 2

LCM(562,8868) = ( 562 × 8868 ) / 2

LCM(562,8868) = 4983816 / 2

LCM(562,8868) = 2491908

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FAQs on GCF of Fractions of 5077/562, 2840/8868

1. What is the HCF of 5077,2840?

The HCF of 5077,2840 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 5077/562, 2840/8868?

Answer: GCF of Numerators as per given numbers 5077/562, 2840/8868 is

GCF of Numerators i.e. for 5077,2840 is 1

LCM of denominators i.e. for 562,8868 is 2491908.

Thus, GCF of Fractions is 1/2491908.Finally, GCF of Fractions for 5077/562, 2840/8868 is 1/2491908.