How to Find GCF of 4663/968, 5164/6776?

GCF of 4663/968, 5164/6776

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 4663/968, 5164/6776 i.e 1/6776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4663/968, 5164/6776.

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 4663/968,5164/6776?

Given fractions are 4663/968,5164/6776

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 4663/968,5164/6776, numerators are 4663,5164

Denominators are 968,6776

The GCF of 4663,5164 is 1 .

LCM of 968,6776 is 6776.

The greatest common factor of 4663/968,5164/6776 = [GCF of 4663,5164]/[LCM of 968,6776]= 1/6776

Therefore, the GCF of 4663/968,5164/6776 is 1/6776.

Greatest Common Factor of 4663,5164

To find the highest common factor of 4663,5164, we have to find the factors of both numbers and list the highest common factor.

The factors of 4663 are 1, 4663

The factors of 5164 are 1, 2, 4, 1291, 2582, 5164

The HCF of 4663,5164 is 1.

Lets's calculate GCF of 4663,5164

Greatest Common Factor (GCF) of 4663,5164 By Common Division

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

Greatest Common Factor of 4663,5164 By Matching Biggest Common Factor Method

Now, list down the factors of 4663

1,4663

Now, list down the factors of 5164

1,2,4,1291,2582,5164

Greatest Common Factor

We found the factors 4663,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 4663,5164 is 1.

Lets's calculate LCM of 968,6776

Lowest Common Multiple of 968,6776 using Common Division

2	968, 6776
2	484, 3388
2	242, 1694
11	121, 847
11	11, 77
	1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 11 x 1 x 7 = 6776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6776

Therefore, the GCF of Fractions 4663/968,5164/6776 is 1/6776

Least Common Multiple of 968,6776 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 968,6776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,6776) = 968

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

GCF(968,6776) x common factors =968 x 1 = 968

LCM(968,6776) = ( 968 × 6776 ) / 968

LCM(968,6776) = 6559168 / 968

LCM(968,6776) = 6776

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4663/968, 5164/6776

1. What is the HCF of 4663,5164?

The HCF of 4663,5164 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 4663/968, 5164/6776?

Answer: GCF of Numerators as per given numbers 4663/968, 5164/6776 is

GCF of Numerators i.e. for 4663,5164 is 1

LCM of denominators i.e. for 968,6776 is 6776.

Thus, GCF of Fractions is 1/6776.Finally, GCF of Fractions for 4663/968, 5164/6776 is 1/6776.