Greatest Common Factor of 3850/830, 1646/7054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3850/830, 1646/7054

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 3850/830,1646/7054

Given fractions are 3850/830,1646/7054

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 3850,1646

Greatest Common Factor of Numerators i.e. GCF of 3850,1646 is 2 .

LCM of Denominators means LCM of 830,7054 as per the given fractions.

LCM of 830,7054 is 2927410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3850,1646

GCF of Fractions 3850/830,1646/7054 is 2/2927410

2 3850, 1646
1925, 823

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

Greatest Common Factor of 3850,1646 By Matching Biggest Common Factor Method

Greatest Common Factor of 3850,1646 By Matching Biggest Common Factor Method

Factors of 3850

List of positive integer factors of 3850 that divides 3850 without a remainder.

1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850

Factors of 1646

List of positive integer factors of 1646 that divides 1646 without a remainder.

1,2,823,1646

Greatest Common Factor

We found the factors 3850,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 3850,1646 is 2.

Lets's calculate LCM of 830,7054

2 830, 7054
415, 3527

∴ So the LCM of the given numbers is 2 x 415 x 3527 = 2927410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2927410

Therefore, the GCF of Fractions 3850/830,1646/7054 is 2/2927410

Least Common Multiple of 830,7054 with GCF Formula

Least Common Multiple of 830,7054 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 830,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,7054) = 2

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

GCF(830,7054) x common factors =2 x 1 = 2

LCM(830,7054) = ( 830 × 7054 ) / 2

LCM(830,7054) = 5854820 / 2

LCM(830,7054) = 2927410


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 3850/830, 1646/7054

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 3850/830, 1646/7054?

Answer: GCF of Numerators as per given numbers 3850/830, 1646/7054 is

GCF of Numerators i.e. for 3850,1646 is 2

LCM of denominators i.e. for 830,7054 is 2927410.

Thus, GCF of Fractions is 2/2927410.Finally, GCF of Fractions for 3850/830, 1646/7054 is 2/2927410.