Greatest Common Factor of 4165/945, 4354/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4165/945, 4354/262

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 4165/945,4354/262

Given fractions are 4165/945,4354/262

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 4165,4354

Greatest Common Factor of Numerators i.e. GCF of 4165,4354 is 7 .

LCM of Denominators means LCM of 945,262 as per the given fractions.

LCM of 945,262 is 247590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4165,4354

GCF of Fractions 4165/945,4354/262 is 7/247590

7 4165, 4354
595, 622

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4165,4354 By Matching Biggest Common Factor Method

Greatest Common Factor of 4165,4354 By Matching Biggest Common Factor Method

Factors of 4165

List of positive integer factors of 4165 that divides 4165 without a remainder.

1,5,7,17,35,49,85,119,245,595,833,4165

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1,2,7,14,311,622,2177,4354

Greatest Common Factor

We found the factors 4165,4354 . The biggest common factor number is the GCF number.
So the greatest common factor 4165,4354 is 7.

Lets's calculate LCM of 945,262

Given numbers has no common factors except 1. So, there LCM is their product i.e 247590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/247590

Therefore, the GCF of Fractions 4165/945,4354/262 is 7/247590

Least Common Multiple of 945,262 with GCF Formula

Least Common Multiple of 945,262 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 945,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,262) = 1

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

GCF(945,262) x common factors =1 x 1 = 1

LCM(945,262) = ( 945 × 262 ) / 1

LCM(945,262) = 247590 / 1

LCM(945,262) = 247590


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 4165/945, 4354/262

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 4165/945, 4354/262?

Answer: GCF of Numerators as per given numbers 4165/945, 4354/262 is

GCF of Numerators i.e. for 4165,4354 is 7

LCM of denominators i.e. for 945,262 is 247590.

Thus, GCF of Fractions is 7/247590.Finally, GCF of Fractions for 4165/945, 4354/262 is 7/247590.