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GCF of 914/49, 233/508

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 914/49, 233/508 i.e 1/24892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 914/49, 233/508.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 914/49,233/508?

Given fractions are 914/49,233/508

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 914/49,233/508, numerators are 914,233

Denominators are 49,508

The GCF of 914,233 is 1 .

LCM of 49,508 is 24892.

The greatest common factor of 914/49,233/508 = [GCF of 914,233]/[LCM of 49,508]= 1/24892

Therefore, the GCF of 914/49,233/508 is 1/24892.

Greatest Common Factor of 914,233

To find the highest common factor of 914,233, we have to find the factors of both numbers and list the highest common factor.

The factors of 914 are 1, 2, 457, 914

The factors of 233 are 1, 233

The HCF of 914,233 is 1.

Lets's calculate GCF of 914,233

Greatest Common Factor (GCF) of 914,233 By Common Division

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

Greatest Common Factor of 914,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,233 By Matching Biggest Common Factor Method

Now, list down the factors of 914

:

1,2,457,914

Now, list down the factors of 233

:

1,233

Greatest Common Factor

We found the factors 914,233 . The biggest common factor number is the GCF number.
So the greatest common factor 914,233 is 1.

Lets's calculate LCM of 49,508

Lowest Common Multiple of 49,508 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24892

Therefore, the GCF of Fractions 914/49,233/508 is 1/24892

Least Common Multiple of 49,508 with GCF Formula

Least Common Multiple of 49,508 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 49,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,508) = 1

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

GCF(49,508) x common factors =1 x 1 = 1

LCM(49,508) = ( 49 × 508 ) / 1

LCM(49,508) = 24892 / 1

LCM(49,508) = 24892


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FAQs on GCF of Fractions of 914/49, 233/508

1. What is the HCF of 914,233?

The HCF of 914,233 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 914/49, 233/508?

Answer: GCF of Numerators as per given numbers 914/49, 233/508 is

GCF of Numerators i.e. for 914,233 is 1

LCM of denominators i.e. for 49,508 is 24892.

Thus, GCF of Fractions is 1/24892.Finally, GCF of Fractions for 914/49, 233/508 is 1/24892.