How to Find GCF of 3787/492, 2946/1026?

GCF of 3787/492, 2946/1026

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 3787/492, 2946/1026 i.e 1/84132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3787/492, 2946/1026.

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 3787/492,2946/1026?

Given fractions are 3787/492,2946/1026

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 3787/492,2946/1026, numerators are 3787,2946

Denominators are 492,1026

The GCF of 3787,2946 is 1 .

LCM of 492,1026 is 84132.

The greatest common factor of 3787/492,2946/1026 = [GCF of 3787,2946]/[LCM of 492,1026]= 1/84132

Therefore, the GCF of 3787/492,2946/1026 is 1/84132.

Greatest Common Factor of 3787,2946

To find the highest common factor of 3787,2946, we have to find the factors of both numbers and list the highest common factor.

The factors of 3787 are 1, 7, 541, 3787

The factors of 2946 are 1, 2, 3, 6, 491, 982, 1473, 2946

The HCF of 3787,2946 is 1.

Lets's calculate GCF of 3787,2946

Greatest Common Factor (GCF) of 3787,2946 By Common Division

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

Greatest Common Factor of 3787,2946 By Matching Biggest Common Factor Method

Now, list down the factors of 3787

1,7,541,3787

Now, list down the factors of 2946

1,2,3,6,491,982,1473,2946

Greatest Common Factor

We found the factors 3787,2946 . The biggest common factor number is the GCF number.
So the greatest common factor 3787,2946 is 1.

Lets's calculate LCM of 492,1026

Lowest Common Multiple of 492,1026 using Common Division

2	492, 1026
3	246, 513
	82, 171

∴ So the LCM of the given numbers is 2 x 3 x 82 x 171 = 84132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84132

Therefore, the GCF of Fractions 3787/492,2946/1026 is 1/84132

Least Common Multiple of 492,1026 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 492,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,1026) = 6

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

GCF(492,1026) x common factors =6 x 1 = 6

LCM(492,1026) = ( 492 × 1026 ) / 6

LCM(492,1026) = 504792 / 6

LCM(492,1026) = 84132

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FAQs on GCF of Fractions of 3787/492, 2946/1026

1. What is the HCF of 3787,2946?

The HCF of 3787,2946 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 3787/492, 2946/1026?

Answer: GCF of Numerators as per given numbers 3787/492, 2946/1026 is

GCF of Numerators i.e. for 3787,2946 is 1

LCM of denominators i.e. for 492,1026 is 84132.

Thus, GCF of Fractions is 1/84132.Finally, GCF of Fractions for 3787/492, 2946/1026 is 1/84132.