How to Find GCF of 4886/766, 2626/9144?

GCF of 4886/766, 2626/9144

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 4886/766, 2626/9144 i.e 2/3502152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4886/766, 2626/9144.

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 4886/766,2626/9144?

Given fractions are 4886/766,2626/9144

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 4886/766,2626/9144, numerators are 4886,2626

Denominators are 766,9144

The GCF of 4886,2626 is 2 .

LCM of 766,9144 is 3502152.

The greatest common factor of 4886/766,2626/9144 = [GCF of 4886,2626]/[LCM of 766,9144]= 2/3502152

Therefore, the GCF of 4886/766,2626/9144 is 2/3502152.

Greatest Common Factor of 4886,2626

To find the highest common factor of 4886,2626, we have to find the factors of both numbers and list the highest common factor.

The factors of 4886 are 1, 2, 7, 14, 349, 698, 2443, 4886

The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626

The HCF of 4886,2626 is 2.

Lets's calculate GCF of 4886,2626

Greatest Common Factor (GCF) of 4886,2626 By Common Division

2	4886, 2626
	2443, 1313

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4886,2626 By Matching Biggest Common Factor Method

Now, list down the factors of 4886

1,2,7,14,349,698,2443,4886

Now, list down the factors of 2626

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 4886,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 4886,2626 is 2.

Lets's calculate LCM of 766,9144

Lowest Common Multiple of 766,9144 using Common Division

2	766, 9144
	383, 4572

∴ So the LCM of the given numbers is 2 x 383 x 4572 = 3502152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3502152

Therefore, the GCF of Fractions 4886/766,2626/9144 is 2/3502152

Least Common Multiple of 766,9144 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 766,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,9144) = 2

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

GCF(766,9144) x common factors =2 x 1 = 2

LCM(766,9144) = ( 766 × 9144 ) / 2

LCM(766,9144) = 7004304 / 2

LCM(766,9144) = 3502152

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FAQs on GCF of Fractions of 4886/766, 2626/9144

1. What is the HCF of 4886,2626?

The HCF of 4886,2626 is 2

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 4886/766, 2626/9144?

Answer: GCF of Numerators as per given numbers 4886/766, 2626/9144 is

GCF of Numerators i.e. for 4886,2626 is 2

LCM of denominators i.e. for 766,9144 is 3502152.

Thus, GCF of Fractions is 2/3502152.Finally, GCF of Fractions for 4886/766, 2626/9144 is 2/3502152.