How to Find GCF of 7677/401, 7789/6120?

GCF of 7677/401, 7789/6120

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 7677/401, 7789/6120 i.e 1/2454120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7677/401, 7789/6120.

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 7677/401,7789/6120?

Given fractions are 7677/401,7789/6120

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 7677/401,7789/6120, numerators are 7677,7789

Denominators are 401,6120

The GCF of 7677,7789 is 1 .

LCM of 401,6120 is 2454120.

The greatest common factor of 7677/401,7789/6120 = [GCF of 7677,7789]/[LCM of 401,6120]= 1/2454120

Therefore, the GCF of 7677/401,7789/6120 is 1/2454120.

Greatest Common Factor of 7677,7789

To find the highest common factor of 7677,7789, we have to find the factors of both numbers and list the highest common factor.

The factors of 7677 are 1, 3, 9, 853, 2559, 7677

The factors of 7789 are 1, 7789

The HCF of 7677,7789 is 1.

Lets's calculate GCF of 7677,7789

Greatest Common Factor (GCF) of 7677,7789 By Common Division

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

Greatest Common Factor of 7677,7789 By Matching Biggest Common Factor Method

Now, list down the factors of 7677

1,3,9,853,2559,7677

Now, list down the factors of 7789

1,7789

Greatest Common Factor

We found the factors 7677,7789 . The biggest common factor number is the GCF number.
So the greatest common factor 7677,7789 is 1.

Lets's calculate LCM of 401,6120

Lowest Common Multiple of 401,6120 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2454120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2454120

Therefore, the GCF of Fractions 7677/401,7789/6120 is 1/2454120

Least Common Multiple of 401,6120 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 401,6120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,6120) = 1

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

GCF(401,6120) x common factors =1 x 1 = 1

LCM(401,6120) = ( 401 × 6120 ) / 1

LCM(401,6120) = 2454120 / 1

LCM(401,6120) = 2454120

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FAQs on GCF of Fractions of 7677/401, 7789/6120

1. What is the HCF of 7677,7789?

The HCF of 7677,7789 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 7677/401, 7789/6120?

Answer: GCF of Numerators as per given numbers 7677/401, 7789/6120 is

GCF of Numerators i.e. for 7677,7789 is 1

LCM of denominators i.e. for 401,6120 is 2454120.

Thus, GCF of Fractions is 1/2454120.Finally, GCF of Fractions for 7677/401, 7789/6120 is 1/2454120.