GCF of 1310/302, 8653/2132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1310/302, 8653/2132 i.e 1/321932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1310/302, 8653/2132.
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 1310/302,8653/2132?
Given fractions are 1310/302,8653/2132
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 1310/302,8653/2132, numerators are 1310,8653
Denominators are 302,2132
The GCF of 1310,8653 is 1 .
LCM of 302,2132 is 321932.
The greatest common factor of 1310/302,8653/2132 = [GCF of 1310,8653]/[LCM of 302,2132]= 1/321932
Therefore, the GCF of 1310/302,8653/2132 is 1/321932.
To find the highest common factor of 1310,8653, we have to find the factors of both numbers and list the highest common factor.
The factors of 1310 are 1, 2, 5, 10, 131, 262, 655, 1310
The factors of 8653 are 1, 17, 509, 8653
The HCF of 1310,8653 is 1.
Lets's calculate GCF of 1310,8653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1310,8653 By Matching Biggest Common Factor Method
Now, list down the factors of 1310
:1,2,5,10,131,262,655,1310
Now, list down the factors of 8653
:1,17,509,8653
Greatest Common Factor
We found the factors 1310,8653 . The biggest common factor number is the GCF number.
So the greatest common factor 1310,8653 is 1.
Lets's calculate LCM of 302,2132
| 2 | 302, 2132 |
| 151, 1066 |
∴ So the LCM of the given numbers is 2 x 151 x 1066 = 321932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321932
Therefore, the GCF of Fractions 1310/302,8653/2132 is 1/321932
Least Common Multiple of 302,2132 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 302,2132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,2132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,2132) x common factors =2 x 1 = 2
LCM(302,2132) = ( 302 × 2132 ) / 2
LCM(302,2132) = 643864 / 2
LCM(302,2132) = 321932
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FAQs on GCF of Fractions of 1310/302, 8653/2132
1. What is the HCF of 1310,8653?
The HCF of 1310,8653 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 1310/302, 8653/2132?
Answer: GCF of Numerators as per given numbers 1310/302, 8653/2132 is
GCF of Numerators i.e. for 1310,8653 is 1
LCM of denominators i.e. for 302,2132 is 321932.
Thus, GCF of Fractions is 1/321932.Finally, GCF of Fractions for 1310/302, 8653/2132 is 1/321932.