Greatest Common Factor of 1345/551, 3825/7767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1345/551, 3825/7767

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1345/551,3825/7767

Given fractions are 1345/551,3825/7767

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1345,3825

Greatest Common Factor of Numerators i.e. GCF of 1345,3825 is 5 .

LCM of Denominators means LCM of 551,7767 as per the given fractions.

LCM of 551,7767 is 4279617 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1345,3825

GCF of Fractions 1345/551,3825/7767 is 5/4279617

5 1345, 3825
269, 765

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1345,3825 By Matching Biggest Common Factor Method

Greatest Common Factor of 1345,3825 By Matching Biggest Common Factor Method

Factors of 1345

List of positive integer factors of 1345 that divides 1345 without a remainder.

1,5,269,1345

Factors of 3825

List of positive integer factors of 3825 that divides 3825 without a remainder.

1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825

Greatest Common Factor

We found the factors 1345,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 1345,3825 is 5.

Lets's calculate LCM of 551,7767

Given numbers has no common factors except 1. So, there LCM is their product i.e 4279617

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4279617

Therefore, the GCF of Fractions 1345/551,3825/7767 is 5/4279617

Least Common Multiple of 551,7767 with GCF Formula

Least Common Multiple of 551,7767 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 551,7767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,7767) = 1

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

GCF(551,7767) x common factors =1 x 1 = 1

LCM(551,7767) = ( 551 × 7767 ) / 1

LCM(551,7767) = 4279617 / 1

LCM(551,7767) = 4279617


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1345/551, 3825/7767

1. 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.

2. What is the GCF of Fractions for 1345/551, 3825/7767?

Answer: GCF of Numerators as per given numbers 1345/551, 3825/7767 is

GCF of Numerators i.e. for 1345,3825 is 5

LCM of denominators i.e. for 551,7767 is 4279617.

Thus, GCF of Fractions is 5/4279617.Finally, GCF of Fractions for 1345/551, 3825/7767 is 5/4279617.