How to Find GCF of 709/584, 422/827, 950/152?

GCF of 709/584, 422/827, 950/152

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 709/584, 422/827, 950/152 i.e 1/9176392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 709/584, 422/827, 950/152.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 709/584,422/827,950/152?

Given fractions are 709/584,422/827,950/152

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 709/584,422/827,950/152, numerators are 709,422,950

Denominators are 584,827,152

The GCF of 709,422,950 is 1 .

LCM of 584,827,152 is 9176392.

The greatest common factor of 709/584,422/827,950/152 = [GCF of 709,422,950]/[LCM of 584,827,152]= 1/9176392

Therefore, the GCF of 709/584,422/827,950/152 is 1/9176392.

Greatest Common Factor of 709,422,950

To find the highest common factor of 709,422,950, we have to find the factors of both numbers and list the highest common factor.

The factors of 709 are 1, 709

The factors of 422 are 1, 2, 211, 422

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

The HCF of 709,422,950 is 1.

Lets's calculate GCF of 709,422,950

Greatest Common Factor (GCF) of 709,422,950 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 709,422,950 By Matching Biggest Common Factor Method

Now, list down the factors of 709

1,709

Now, list down the factors of 422

1,2,211,422

Now, list down the factors of 950

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 709,422,950 . The biggest common factor number is the GCF number.
So the greatest common factor 709,422,950 is 1.

Lets's calculate LCM of 584,827,152

Lowest Common Multiple of 584,827,152 using Common Division

2	584, 827, 152
2	292, 827, 76
2	146, 827, 38
	73, 827, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 827 x 19 = 9176392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9176392

Therefore, the GCF of Fractions 709/584,422/827,950/152 is 1/9176392

Least Common Multiple of 584,827,152 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 584,827,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,827,152) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(584,827,152) x common factors =1 x 8 = 8

LCM(584,827,152) = ( 584 × 827 × 152 ) / 8

LCM(584,827,152) = 73411136 / 8

LCM(584,827,152) = 9176392

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 709/584, 422/827, 950/152

1. What is the HCF of 709,422,950?

The HCF of 709,422,950 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 709/584, 422/827, 950/152?

Answer: GCF of Numerators as per given numbers 709/584, 422/827, 950/152 is

GCF of Numerators i.e. for 709,422,950 is 1

LCM of denominators i.e. for 584,827,152 is 9176392.

Thus, GCF of Fractions is 1/9176392.Finally, GCF of Fractions for 709/584, 422/827, 950/152 is 1/9176392.