How to Find GCF of 650/668, 1092/6543?

GCF of 650/668, 1092/6543

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 650/668, 1092/6543 i.e 26/4370724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/668, 1092/6543.

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 650/668,1092/6543?

Given fractions are 650/668,1092/6543

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 650/668,1092/6543, numerators are 650,1092

Denominators are 668,6543

The GCF of 650,1092 is 26 .

LCM of 668,6543 is 4370724.

The greatest common factor of 650/668,1092/6543 = [GCF of 650,1092]/[LCM of 668,6543]= 26/4370724

Therefore, the GCF of 650/668,1092/6543 is 26/4370724.

Greatest Common Factor of 650,1092

To find the highest common factor of 650,1092, we have to find the factors of both numbers and list the highest common factor.

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092

The HCF of 650,1092 is 26.

Lets's calculate GCF of 650,1092

Greatest Common Factor (GCF) of 650,1092 By Common Division

2	650, 1092
13	325, 546
	25, 42

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 650,1092 By Matching Biggest Common Factor Method

Now, list down the factors of 650

1,2,5,10,13,25,26,50,65,130,325,650

Now, list down the factors of 1092

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

Greatest Common Factor

We found the factors 650,1092 . The biggest common factor number is the GCF number.
So the greatest common factor 650,1092 is 26.

Lets's calculate LCM of 668,6543

Lowest Common Multiple of 668,6543 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4370724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/4370724

Therefore, the GCF of Fractions 650/668,1092/6543 is 26/4370724

Least Common Multiple of 668,6543 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 668,6543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,6543) = 1

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

GCF(668,6543) x common factors =1 x 1 = 1

LCM(668,6543) = ( 668 × 6543 ) / 1

LCM(668,6543) = 4370724 / 1

LCM(668,6543) = 4370724

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FAQs on GCF of Fractions of 650/668, 1092/6543

1. What is the HCF of 650,1092?

The HCF of 650,1092 is 26

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 650/668, 1092/6543?

Answer: GCF of Numerators as per given numbers 650/668, 1092/6543 is

GCF of Numerators i.e. for 650,1092 is 26

LCM of denominators i.e. for 668,6543 is 4370724.

Thus, GCF of Fractions is 26/4370724.Finally, GCF of Fractions for 650/668, 1092/6543 is 26/4370724.