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GCF of 1513/278, 9043/829

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 1513/278, 9043/829 i.e 1/230462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1513/278, 9043/829.

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 1513/278,9043/829?

Given fractions are 1513/278,9043/829

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 1513/278,9043/829, numerators are 1513,9043

Denominators are 278,829

The GCF of 1513,9043 is 1 .

LCM of 278,829 is 230462.

The greatest common factor of 1513/278,9043/829 = [GCF of 1513,9043]/[LCM of 278,829]= 1/230462

Therefore, the GCF of 1513/278,9043/829 is 1/230462.

Greatest Common Factor of 1513,9043

To find the highest common factor of 1513,9043, we have to find the factors of both numbers and list the highest common factor.

The factors of 1513 are 1, 17, 89, 1513

The factors of 9043 are 1, 9043

The HCF of 1513,9043 is 1.

Lets's calculate GCF of 1513,9043

Greatest Common Factor (GCF) of 1513,9043 By Common Division

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

Greatest Common Factor of 1513,9043 By Matching Biggest Common Factor Method

Greatest Common Factor of 1513,9043 By Matching Biggest Common Factor Method

Now, list down the factors of 1513

:

1,17,89,1513

Now, list down the factors of 9043

:

1,9043

Greatest Common Factor

We found the factors 1513,9043 . The biggest common factor number is the GCF number.
So the greatest common factor 1513,9043 is 1.

Lets's calculate LCM of 278,829

Lowest Common Multiple of 278,829 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 230462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230462

Therefore, the GCF of Fractions 1513/278,9043/829 is 1/230462

Least Common Multiple of 278,829 with GCF Formula

Least Common Multiple of 278,829 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 278,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,829) = 1

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

GCF(278,829) x common factors =1 x 1 = 1

LCM(278,829) = ( 278 × 829 ) / 1

LCM(278,829) = 230462 / 1

LCM(278,829) = 230462


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FAQs on GCF of Fractions of 1513/278, 9043/829

1. What is the HCF of 1513,9043?

The HCF of 1513,9043 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 1513/278, 9043/829?

Answer: GCF of Numerators as per given numbers 1513/278, 9043/829 is

GCF of Numerators i.e. for 1513,9043 is 1

LCM of denominators i.e. for 278,829 is 230462.

Thus, GCF of Fractions is 1/230462.Finally, GCF of Fractions for 1513/278, 9043/829 is 1/230462.