How to Find GCF of 929/548, 6236/900?

GCF of 929/548, 6236/900

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 929/548, 6236/900 i.e 1/123300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/548, 6236/900.

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 929/548,6236/900?

Given fractions are 929/548,6236/900

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 929/548,6236/900, numerators are 929,6236

Denominators are 548,900

The GCF of 929,6236 is 1 .

LCM of 548,900 is 123300.

The greatest common factor of 929/548,6236/900 = [GCF of 929,6236]/[LCM of 548,900]= 1/123300

Therefore, the GCF of 929/548,6236/900 is 1/123300.

Greatest Common Factor of 929,6236

To find the highest common factor of 929,6236, we have to find the factors of both numbers and list the highest common factor.

The factors of 929 are 1, 929

The factors of 6236 are 1, 2, 4, 1559, 3118, 6236

The HCF of 929,6236 is 1.

Lets's calculate GCF of 929,6236

Greatest Common Factor (GCF) of 929,6236 By Common Division

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

Greatest Common Factor of 929,6236 By Matching Biggest Common Factor Method

Now, list down the factors of 929

1,929

Now, list down the factors of 6236

1,2,4,1559,3118,6236

Greatest Common Factor

We found the factors 929,6236 . The biggest common factor number is the GCF number.
So the greatest common factor 929,6236 is 1.

Lets's calculate LCM of 548,900

Lowest Common Multiple of 548,900 using Common Division

2	548, 900
2	274, 450
	137, 225

∴ So the LCM of the given numbers is 2 x 2 x 137 x 225 = 123300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123300

Therefore, the GCF of Fractions 929/548,6236/900 is 1/123300

Least Common Multiple of 548,900 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 548,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,900) = 4

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

GCF(548,900) x common factors =4 x 1 = 4

LCM(548,900) = ( 548 × 900 ) / 4

LCM(548,900) = 493200 / 4

LCM(548,900) = 123300

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FAQs on GCF of Fractions of 929/548, 6236/900

1. What is the HCF of 929,6236?

The HCF of 929,6236 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 929/548, 6236/900?

Answer: GCF of Numerators as per given numbers 929/548, 6236/900 is

GCF of Numerators i.e. for 929,6236 is 1

LCM of denominators i.e. for 548,900 is 123300.

Thus, GCF of Fractions is 1/123300.Finally, GCF of Fractions for 929/548, 6236/900 is 1/123300.