How to Find GCF of 3881/650, 7768/7770?

GCF of 3881/650, 7768/7770

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 3881/650, 7768/7770 i.e 1/505050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3881/650, 7768/7770.

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 3881/650,7768/7770?

Given fractions are 3881/650,7768/7770

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 3881/650,7768/7770, numerators are 3881,7768

Denominators are 650,7770

The GCF of 3881,7768 is 1 .

LCM of 650,7770 is 505050.

The greatest common factor of 3881/650,7768/7770 = [GCF of 3881,7768]/[LCM of 650,7770]= 1/505050

Therefore, the GCF of 3881/650,7768/7770 is 1/505050.

Greatest Common Factor of 3881,7768

To find the highest common factor of 3881,7768, we have to find the factors of both numbers and list the highest common factor.

The factors of 3881 are 1, 3881

The factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768

The HCF of 3881,7768 is 1.

Lets's calculate GCF of 3881,7768

Greatest Common Factor (GCF) of 3881,7768 By Common Division

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

Greatest Common Factor of 3881,7768 By Matching Biggest Common Factor Method

Now, list down the factors of 3881

1,3881

Now, list down the factors of 7768

1,2,4,8,971,1942,3884,7768

Greatest Common Factor

We found the factors 3881,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 3881,7768 is 1.

Lets's calculate LCM of 650,7770

Lowest Common Multiple of 650,7770 using Common Division

2	650, 7770
5	325, 3885
	65, 777

∴ So the LCM of the given numbers is 2 x 5 x 65 x 777 = 505050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505050

Therefore, the GCF of Fractions 3881/650,7768/7770 is 1/505050

Least Common Multiple of 650,7770 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 650,7770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,7770) = 10

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

GCF(650,7770) x common factors =10 x 1 = 10

LCM(650,7770) = ( 650 × 7770 ) / 10

LCM(650,7770) = 5050500 / 10

LCM(650,7770) = 505050

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FAQs on GCF of Fractions of 3881/650, 7768/7770

1. What is the HCF of 3881,7768?

The HCF of 3881,7768 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 3881/650, 7768/7770?

Answer: GCF of Numerators as per given numbers 3881/650, 7768/7770 is

GCF of Numerators i.e. for 3881,7768 is 1

LCM of denominators i.e. for 650,7770 is 505050.

Thus, GCF of Fractions is 1/505050.Finally, GCF of Fractions for 3881/650, 7768/7770 is 1/505050.