How to Find GCF of 3100/443, 7667/7974?

GCF of 3100/443, 7667/7974

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 3100/443, 7667/7974 i.e 1/7974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3100/443, 7667/7974.

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 3100/443,7667/7974?

Given fractions are 3100/443,7667/7974

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 3100/443,7667/7974, numerators are 3100,7667

Denominators are 443,7974

The GCF of 3100,7667 is 1 .

LCM of 443,7974 is 7974.

The greatest common factor of 3100/443,7667/7974 = [GCF of 3100,7667]/[LCM of 443,7974]= 1/7974

Therefore, the GCF of 3100/443,7667/7974 is 1/7974.

Greatest Common Factor of 3100,7667

To find the highest common factor of 3100,7667, we have to find the factors of both numbers and list the highest common factor.

The factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100

The factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667

The HCF of 3100,7667 is 1.

Lets's calculate GCF of 3100,7667

Greatest Common Factor (GCF) of 3100,7667 By Common Division

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

Greatest Common Factor of 3100,7667 By Matching Biggest Common Factor Method

Now, list down the factors of 3100

1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100

Now, list down the factors of 7667

1,11,17,41,187,451,697,7667

Greatest Common Factor

We found the factors 3100,7667 . The biggest common factor number is the GCF number.
So the greatest common factor 3100,7667 is 1.

Lets's calculate LCM of 443,7974

Lowest Common Multiple of 443,7974 using Common Division

443	443, 7974
	1, 18

∴ So the LCM of the given numbers is 443 x 1 x 18 = 7974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7974

Therefore, the GCF of Fractions 3100/443,7667/7974 is 1/7974

Least Common Multiple of 443,7974 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 443,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,7974) = 443

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

GCF(443,7974) x common factors =443 x 1 = 443

LCM(443,7974) = ( 443 × 7974 ) / 443

LCM(443,7974) = 3532482 / 443

LCM(443,7974) = 7974

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FAQs on GCF of Fractions of 3100/443, 7667/7974

1. What is the HCF of 3100,7667?

The HCF of 3100,7667 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 3100/443, 7667/7974?

Answer: GCF of Numerators as per given numbers 3100/443, 7667/7974 is

GCF of Numerators i.e. for 3100,7667 is 1

LCM of denominators i.e. for 443,7974 is 7974.

Thus, GCF of Fractions is 1/7974.Finally, GCF of Fractions for 3100/443, 7667/7974 is 1/7974.