How to Find GCF of 6454/771, 6118/9266?

GCF of 6454/771, 6118/9266

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 6454/771, 6118/9266 i.e 14/7144086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6454/771, 6118/9266.

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 6454/771,6118/9266?

Given fractions are 6454/771,6118/9266

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 6454/771,6118/9266, numerators are 6454,6118

Denominators are 771,9266

The GCF of 6454,6118 is 14 .

LCM of 771,9266 is 7144086.

The greatest common factor of 6454/771,6118/9266 = [GCF of 6454,6118]/[LCM of 771,9266]= 14/7144086

Therefore, the GCF of 6454/771,6118/9266 is 14/7144086.

Greatest Common Factor of 6454,6118

To find the highest common factor of 6454,6118, we have to find the factors of both numbers and list the highest common factor.

The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454

The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118

The HCF of 6454,6118 is 14.

Lets's calculate GCF of 6454,6118

Greatest Common Factor (GCF) of 6454,6118 By Common Division

2	6454, 6118
7	3227, 3059
	461, 437

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 6454,6118 By Matching Biggest Common Factor Method

Now, list down the factors of 6454

1,2,7,14,461,922,3227,6454

Now, list down the factors of 6118

1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118

Greatest Common Factor

We found the factors 6454,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 6454,6118 is 14.

Lets's calculate LCM of 771,9266

Lowest Common Multiple of 771,9266 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7144086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/7144086

Therefore, the GCF of Fractions 6454/771,6118/9266 is 14/7144086

Least Common Multiple of 771,9266 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 771,9266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,9266) = 1

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

GCF(771,9266) x common factors =1 x 1 = 1

LCM(771,9266) = ( 771 × 9266 ) / 1

LCM(771,9266) = 7144086 / 1

LCM(771,9266) = 7144086

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6454/771, 6118/9266

1. What is the HCF of 6454,6118?

The HCF of 6454,6118 is 14

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 6454/771, 6118/9266?

Answer: GCF of Numerators as per given numbers 6454/771, 6118/9266 is

GCF of Numerators i.e. for 6454,6118 is 14

LCM of denominators i.e. for 771,9266 is 7144086.

Thus, GCF of Fractions is 14/7144086.Finally, GCF of Fractions for 6454/771, 6118/9266 is 14/7144086.