How to Find GCF of 6702/746, 3055/466?

GCF of 6702/746, 3055/466

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 6702/746, 3055/466 i.e 1/173818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6702/746, 3055/466.

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 6702/746,3055/466?

Given fractions are 6702/746,3055/466

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 6702/746,3055/466, numerators are 6702,3055

Denominators are 746,466

The GCF of 6702,3055 is 1 .

LCM of 746,466 is 173818.

The greatest common factor of 6702/746,3055/466 = [GCF of 6702,3055]/[LCM of 746,466]= 1/173818

Therefore, the GCF of 6702/746,3055/466 is 1/173818.

Greatest Common Factor of 6702,3055

To find the highest common factor of 6702,3055, we have to find the factors of both numbers and list the highest common factor.

The factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702

The factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055

The HCF of 6702,3055 is 1.

Lets's calculate GCF of 6702,3055

Greatest Common Factor (GCF) of 6702,3055 By Common Division

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

Greatest Common Factor of 6702,3055 By Matching Biggest Common Factor Method

Now, list down the factors of 6702

1,2,3,6,1117,2234,3351,6702

Now, list down the factors of 3055

1,5,13,47,65,235,611,3055

Greatest Common Factor

We found the factors 6702,3055 . The biggest common factor number is the GCF number.
So the greatest common factor 6702,3055 is 1.

Lets's calculate LCM of 746,466

Lowest Common Multiple of 746,466 using Common Division

2	746, 466
	373, 233

∴ So the LCM of the given numbers is 2 x 373 x 233 = 173818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173818

Therefore, the GCF of Fractions 6702/746,3055/466 is 1/173818

Least Common Multiple of 746,466 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 746,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,466) = 2

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

GCF(746,466) x common factors =2 x 1 = 2

LCM(746,466) = ( 746 × 466 ) / 2

LCM(746,466) = 347636 / 2

LCM(746,466) = 173818

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FAQs on GCF of Fractions of 6702/746, 3055/466

1. What is the HCF of 6702,3055?

The HCF of 6702,3055 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 6702/746, 3055/466?

Answer: GCF of Numerators as per given numbers 6702/746, 3055/466 is

GCF of Numerators i.e. for 6702,3055 is 1

LCM of denominators i.e. for 746,466 is 173818.

Thus, GCF of Fractions is 1/173818.Finally, GCF of Fractions for 6702/746, 3055/466 is 1/173818.