How to Find GCF of 908/457, 5202/756?

GCF of 908/457, 5202/756

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 908/457, 5202/756 i.e 2/345492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/457, 5202/756.

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 908/457,5202/756?

Given fractions are 908/457,5202/756

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 908/457,5202/756, numerators are 908,5202

Denominators are 457,756

The GCF of 908,5202 is 2 .

LCM of 457,756 is 345492.

The greatest common factor of 908/457,5202/756 = [GCF of 908,5202]/[LCM of 457,756]= 2/345492

Therefore, the GCF of 908/457,5202/756 is 2/345492.

Greatest Common Factor of 908,5202

To find the highest common factor of 908,5202, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202

The HCF of 908,5202 is 2.

Lets's calculate GCF of 908,5202

Greatest Common Factor (GCF) of 908,5202 By Common Division

2	908, 5202
	454, 2601

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

Greatest Common Factor of 908,5202 By Matching Biggest Common Factor Method

Now, list down the factors of 908

1,2,4,227,454,908

Now, list down the factors of 5202

1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202

Greatest Common Factor

We found the factors 908,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 908,5202 is 2.

Lets's calculate LCM of 457,756

Lowest Common Multiple of 457,756 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 345492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/345492

Therefore, the GCF of Fractions 908/457,5202/756 is 2/345492

Least Common Multiple of 457,756 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 457,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,756) = 1

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

GCF(457,756) x common factors =1 x 1 = 1

LCM(457,756) = ( 457 × 756 ) / 1

LCM(457,756) = 345492 / 1

LCM(457,756) = 345492

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FAQs on GCF of Fractions of 908/457, 5202/756

1. What is the HCF of 908,5202?

The HCF of 908,5202 is 2

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 908/457, 5202/756?

Answer: GCF of Numerators as per given numbers 908/457, 5202/756 is

GCF of Numerators i.e. for 908,5202 is 2

LCM of denominators i.e. for 457,756 is 345492.

Thus, GCF of Fractions is 2/345492.Finally, GCF of Fractions for 908/457, 5202/756 is 2/345492.