Greatest Common Factor of 748/701, 2170/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/701, 2170/467

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 748/701,2170/467

Given fractions are 748/701,2170/467

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 748,2170

Greatest Common Factor of Numerators i.e. GCF of 748,2170 is 2 .

LCM of Denominators means LCM of 701,467 as per the given fractions.

LCM of 701,467 is 327367 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,2170

GCF of Fractions 748/701,2170/467 is 2/327367

2 748, 2170
374, 1085

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 748,2170 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,2170 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170

Greatest Common Factor

We found the factors 748,2170 . The biggest common factor number is the GCF number.
So the greatest common factor 748,2170 is 2.

Lets's calculate LCM of 701,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 327367

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/327367

Therefore, the GCF of Fractions 748/701,2170/467 is 2/327367

Least Common Multiple of 701,467 with GCF Formula

Least Common Multiple of 701,467 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 701,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,467) = 1

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

GCF(701,467) x common factors =1 x 1 = 1

LCM(701,467) = ( 701 × 467 ) / 1

LCM(701,467) = 327367 / 1

LCM(701,467) = 327367


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 748/701, 2170/467

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 748/701, 2170/467?

Answer: GCF of Numerators as per given numbers 748/701, 2170/467 is

GCF of Numerators i.e. for 748,2170 is 2

LCM of denominators i.e. for 701,467 is 327367.

Thus, GCF of Fractions is 2/327367.Finally, GCF of Fractions for 748/701, 2170/467 is 2/327367.