How to Find GCF of 5315/562, 4043/7078?

GCF of 5315/562, 4043/7078

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 5315/562, 4043/7078 i.e 1/1988918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5315/562, 4043/7078.

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 5315/562,4043/7078?

Given fractions are 5315/562,4043/7078

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 5315/562,4043/7078, numerators are 5315,4043

Denominators are 562,7078

The GCF of 5315,4043 is 1 .

LCM of 562,7078 is 1988918.

The greatest common factor of 5315/562,4043/7078 = [GCF of 5315,4043]/[LCM of 562,7078]= 1/1988918

Therefore, the GCF of 5315/562,4043/7078 is 1/1988918.

Greatest Common Factor of 5315,4043

To find the highest common factor of 5315,4043, we have to find the factors of both numbers and list the highest common factor.

The factors of 5315 are 1, 5, 1063, 5315

The factors of 4043 are 1, 13, 311, 4043

The HCF of 5315,4043 is 1.

Lets's calculate GCF of 5315,4043

Greatest Common Factor (GCF) of 5315,4043 By Common Division

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

Greatest Common Factor of 5315,4043 By Matching Biggest Common Factor Method

Now, list down the factors of 5315

1,5,1063,5315

Now, list down the factors of 4043

1,13,311,4043

Greatest Common Factor

We found the factors 5315,4043 . The biggest common factor number is the GCF number.
So the greatest common factor 5315,4043 is 1.

Lets's calculate LCM of 562,7078

Lowest Common Multiple of 562,7078 using Common Division

2	562, 7078
	281, 3539

∴ So the LCM of the given numbers is 2 x 281 x 3539 = 1988918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1988918

Therefore, the GCF of Fractions 5315/562,4043/7078 is 1/1988918

Least Common Multiple of 562,7078 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 562,7078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,7078) = 2

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

GCF(562,7078) x common factors =2 x 1 = 2

LCM(562,7078) = ( 562 × 7078 ) / 2

LCM(562,7078) = 3977836 / 2

LCM(562,7078) = 1988918

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FAQs on GCF of Fractions of 5315/562, 4043/7078

1. What is the HCF of 5315,4043?

The HCF of 5315,4043 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 5315/562, 4043/7078?

Answer: GCF of Numerators as per given numbers 5315/562, 4043/7078 is

GCF of Numerators i.e. for 5315,4043 is 1

LCM of denominators i.e. for 562,7078 is 1988918.

Thus, GCF of Fractions is 1/1988918.Finally, GCF of Fractions for 5315/562, 4043/7078 is 1/1988918.