Greatest Common Factor of 616/70, 682/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 616/70, 682/434

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 616/70,682/434

Given fractions are 616/70,682/434

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 616,682

Greatest Common Factor of Numerators i.e. GCF of 616,682 is 22 .

LCM of Denominators means LCM of 70,434 as per the given fractions.

LCM of 70,434 is 2170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 616,682

GCF of Fractions 616/70,682/434 is 22/2170

2 616, 682
11 308, 341
28, 31

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 616,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,682 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 616,682 . The biggest common factor number is the GCF number.
So the greatest common factor 616,682 is 22.

Lets's calculate LCM of 70,434

2 70, 434
7 35, 217
5, 31

∴ So the LCM of the given numbers is 2 x 7 x 5 x 31 = 2170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2170

Therefore, the GCF of Fractions 616/70,682/434 is 22/2170

Least Common Multiple of 70,434 with GCF Formula

Least Common Multiple of 70,434 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 70,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,434) = 14

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

GCF(70,434) x common factors =14 x 1 = 14

LCM(70,434) = ( 70 × 434 ) / 14

LCM(70,434) = 30380 / 14

LCM(70,434) = 2170


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 616/70, 682/434

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 616/70, 682/434?

Answer: GCF of Numerators as per given numbers 616/70, 682/434 is

GCF of Numerators i.e. for 616,682 is 22

LCM of denominators i.e. for 70,434 is 2170.

Thus, GCF of Fractions is 22/2170.Finally, GCF of Fractions for 616/70, 682/434 is 22/2170.