How to Find GCF of 3123/956, 7772/668?

GCF of 3123/956, 7772/668

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 3123/956, 7772/668 i.e 1/159652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3123/956, 7772/668.

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 3123/956,7772/668?

Given fractions are 3123/956,7772/668

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 3123/956,7772/668, numerators are 3123,7772

Denominators are 956,668

The GCF of 3123,7772 is 1 .

LCM of 956,668 is 159652.

The greatest common factor of 3123/956,7772/668 = [GCF of 3123,7772]/[LCM of 956,668]= 1/159652

Therefore, the GCF of 3123/956,7772/668 is 1/159652.

Greatest Common Factor of 3123,7772

To find the highest common factor of 3123,7772, we have to find the factors of both numbers and list the highest common factor.

The factors of 3123 are 1, 3, 9, 347, 1041, 3123

The factors of 7772 are 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772

The HCF of 3123,7772 is 1.

Lets's calculate GCF of 3123,7772

Greatest Common Factor (GCF) of 3123,7772 By Common Division

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

Greatest Common Factor of 3123,7772 By Matching Biggest Common Factor Method

Now, list down the factors of 3123

1,3,9,347,1041,3123

Now, list down the factors of 7772

1,2,4,29,58,67,116,134,268,1943,3886,7772

Greatest Common Factor

We found the factors 3123,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 3123,7772 is 1.

Lets's calculate LCM of 956,668

Lowest Common Multiple of 956,668 using Common Division

2	956, 668
2	478, 334
	239, 167

∴ So the LCM of the given numbers is 2 x 2 x 239 x 167 = 159652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159652

Therefore, the GCF of Fractions 3123/956,7772/668 is 1/159652

Least Common Multiple of 956,668 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 956,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,668) = 4

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

GCF(956,668) x common factors =4 x 1 = 4

LCM(956,668) = ( 956 × 668 ) / 4

LCM(956,668) = 638608 / 4

LCM(956,668) = 159652

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3123/956, 7772/668

1. What is the HCF of 3123,7772?

The HCF of 3123,7772 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 3123/956, 7772/668?

Answer: GCF of Numerators as per given numbers 3123/956, 7772/668 is

GCF of Numerators i.e. for 3123,7772 is 1

LCM of denominators i.e. for 956,668 is 159652.

Thus, GCF of Fractions is 1/159652.Finally, GCF of Fractions for 3123/956, 7772/668 is 1/159652.