GCF of 135/78, 653/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 135/78, 653/908 i.e 1/35412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 135/78, 653/908.
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 135/78,653/908?
Given fractions are 135/78,653/908
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 135/78,653/908, numerators are 135,653
Denominators are 78,908
The GCF of 135,653 is 1 .
LCM of 78,908 is 35412.
The greatest common factor of 135/78,653/908 = [GCF of 135,653]/[LCM of 78,908]= 1/35412
Therefore, the GCF of 135/78,653/908 is 1/35412.
To find the highest common factor of 135,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
The factors of 653 are 1, 653
The HCF of 135,653 is 1.
Lets's calculate GCF of 135,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 135,653 By Matching Biggest Common Factor Method
Now, list down the factors of 135
:1,3,5,9,15,27,45,135
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 135,653 . The biggest common factor number is the GCF number.
So the greatest common factor 135,653 is 1.
Lets's calculate LCM of 78,908
| 2 | 78, 908 |
| 39, 454 |
∴ So the LCM of the given numbers is 2 x 39 x 454 = 35412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35412
Therefore, the GCF of Fractions 135/78,653/908 is 1/35412
Least Common Multiple of 78,908 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 78,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,908) x common factors =2 x 1 = 2
LCM(78,908) = ( 78 × 908 ) / 2
LCM(78,908) = 70824 / 2
LCM(78,908) = 35412
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FAQs on GCF of Fractions of 135/78, 653/908
1. What is the HCF of 135,653?
The HCF of 135,653 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 135/78, 653/908?
Answer: GCF of Numerators as per given numbers 135/78, 653/908 is
GCF of Numerators i.e. for 135,653 is 1
LCM of denominators i.e. for 78,908 is 35412.
Thus, GCF of Fractions is 1/35412.Finally, GCF of Fractions for 135/78, 653/908 is 1/35412.