Greatest Common Factor of 4070/850, 1369/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4070/850, 1369/778

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 4070/850,1369/778

Given fractions are 4070/850,1369/778

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 4070,1369

Greatest Common Factor of Numerators i.e. GCF of 4070,1369 is 37 .

LCM of Denominators means LCM of 850,778 as per the given fractions.

LCM of 850,778 is 330650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4070,1369

GCF of Fractions 4070/850,1369/778 is 37/330650

37 4070, 1369
110, 37

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 4070,1369 By Matching Biggest Common Factor Method

Greatest Common Factor of 4070,1369 By Matching Biggest Common Factor Method

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Greatest Common Factor

We found the factors 4070,1369 . The biggest common factor number is the GCF number.
So the greatest common factor 4070,1369 is 37.

Lets's calculate LCM of 850,778

2 850, 778
425, 389

∴ So the LCM of the given numbers is 2 x 425 x 389 = 330650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/330650

Therefore, the GCF of Fractions 4070/850,1369/778 is 37/330650

Least Common Multiple of 850,778 with GCF Formula

Least Common Multiple of 850,778 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 850,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,778) = 2

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

GCF(850,778) x common factors =2 x 1 = 2

LCM(850,778) = ( 850 × 778 ) / 2

LCM(850,778) = 661300 / 2

LCM(850,778) = 330650


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 4070/850, 1369/778

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 4070/850, 1369/778?

Answer: GCF of Numerators as per given numbers 4070/850, 1369/778 is

GCF of Numerators i.e. for 4070,1369 is 37

LCM of denominators i.e. for 850,778 is 330650.

Thus, GCF of Fractions is 37/330650.Finally, GCF of Fractions for 4070/850, 1369/778 is 37/330650.