How to Find GCF of 6676/692, 1364/2052?

GCF of 6676/692, 1364/2052

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 6676/692, 1364/2052 i.e 4/354996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6676/692, 1364/2052.

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 6676/692,1364/2052?

Given fractions are 6676/692,1364/2052

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 6676/692,1364/2052, numerators are 6676,1364

Denominators are 692,2052

The GCF of 6676,1364 is 4 .

LCM of 692,2052 is 354996.

The greatest common factor of 6676/692,1364/2052 = [GCF of 6676,1364]/[LCM of 692,2052]= 4/354996

Therefore, the GCF of 6676/692,1364/2052 is 4/354996.

Greatest Common Factor of 6676,1364

To find the highest common factor of 6676,1364, we have to find the factors of both numbers and list the highest common factor.

The factors of 6676 are 1, 2, 4, 1669, 3338, 6676

The factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

The HCF of 6676,1364 is 4.

Lets's calculate GCF of 6676,1364

Greatest Common Factor (GCF) of 6676,1364 By Common Division

2	6676, 1364
2	3338, 682
	1669, 341

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6676,1364 By Matching Biggest Common Factor Method

Now, list down the factors of 6676

1,2,4,1669,3338,6676

Now, list down the factors of 1364

1,2,4,11,22,31,44,62,124,341,682,1364

Greatest Common Factor

We found the factors 6676,1364 . The biggest common factor number is the GCF number.
So the greatest common factor 6676,1364 is 4.

Lets's calculate LCM of 692,2052

Lowest Common Multiple of 692,2052 using Common Division

2	692, 2052
2	346, 1026
	173, 513

∴ So the LCM of the given numbers is 2 x 2 x 173 x 513 = 354996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/354996

Therefore, the GCF of Fractions 6676/692,1364/2052 is 4/354996

Least Common Multiple of 692,2052 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 692,2052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,2052) = 4

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

GCF(692,2052) x common factors =4 x 1 = 4

LCM(692,2052) = ( 692 × 2052 ) / 4

LCM(692,2052) = 1419984 / 4

LCM(692,2052) = 354996

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6676/692, 1364/2052

1. What is the HCF of 6676,1364?

The HCF of 6676,1364 is 4

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 6676/692, 1364/2052?

Answer: GCF of Numerators as per given numbers 6676/692, 1364/2052 is

GCF of Numerators i.e. for 6676,1364 is 4

LCM of denominators i.e. for 692,2052 is 354996.

Thus, GCF of Fractions is 4/354996.Finally, GCF of Fractions for 6676/692, 1364/2052 is 4/354996.