How to Find GCF of 872/477, 296/914?

GCF of 872/477, 296/914

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 872/477, 296/914 i.e 8/435978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/477, 296/914.

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 872/477,296/914?

Given fractions are 872/477,296/914

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 872/477,296/914, numerators are 872,296

Denominators are 477,914

The GCF of 872,296 is 8 .

LCM of 477,914 is 435978.

The greatest common factor of 872/477,296/914 = [GCF of 872,296]/[LCM of 477,914]= 8/435978

Therefore, the GCF of 872/477,296/914 is 8/435978.

Greatest Common Factor of 872,296

To find the highest common factor of 872,296, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296

The HCF of 872,296 is 8.

Lets's calculate GCF of 872,296

Greatest Common Factor (GCF) of 872,296 By Common Division

2	872, 296
2	436, 148
2	218, 74
	109, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 872,296 By Matching Biggest Common Factor Method

Now, list down the factors of 872

1,2,4,8,109,218,436,872

Now, list down the factors of 296

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 872,296 . The biggest common factor number is the GCF number.
So the greatest common factor 872,296 is 8.

Lets's calculate LCM of 477,914

Lowest Common Multiple of 477,914 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 435978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/435978

Therefore, the GCF of Fractions 872/477,296/914 is 8/435978

Least Common Multiple of 477,914 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 477,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,914) = 1

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

GCF(477,914) x common factors =1 x 1 = 1

LCM(477,914) = ( 477 × 914 ) / 1

LCM(477,914) = 435978 / 1

LCM(477,914) = 435978

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 872/477, 296/914

1. What is the HCF of 872,296?

The HCF of 872,296 is 8

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 872/477, 296/914?

Answer: GCF of Numerators as per given numbers 872/477, 296/914 is

GCF of Numerators i.e. for 872,296 is 8

LCM of denominators i.e. for 477,914 is 435978.

Thus, GCF of Fractions is 8/435978.Finally, GCF of Fractions for 872/477, 296/914 is 8/435978.