GCF of 377/51, 653/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 377/51, 653/114 i.e 1/1938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/51, 653/114.
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 377/51,653/114?
Given fractions are 377/51,653/114
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 377/51,653/114, numerators are 377,653
Denominators are 51,114
The GCF of 377,653 is 1 .
LCM of 51,114 is 1938.
The greatest common factor of 377/51,653/114 = [GCF of 377,653]/[LCM of 51,114]= 1/1938
Therefore, the GCF of 377/51,653/114 is 1/1938.
To find the highest common factor of 377,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 377 are 1, 13, 29, 377
The factors of 653 are 1, 653
The HCF of 377,653 is 1.
Lets's calculate GCF of 377,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 377,653 By Matching Biggest Common Factor Method
Now, list down the factors of 377
:1,13,29,377
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 377,653 . The biggest common factor number is the GCF number.
So the greatest common factor 377,653 is 1.
Lets's calculate LCM of 51,114
| 3 | 51, 114 |
| 17, 38 |
∴ So the LCM of the given numbers is 3 x 17 x 38 = 1938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1938
Therefore, the GCF of Fractions 377/51,653/114 is 1/1938
Least Common Multiple of 51,114 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 51,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,114) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,114) x common factors =3 x 1 = 3
LCM(51,114) = ( 51 × 114 ) / 3
LCM(51,114) = 5814 / 3
LCM(51,114) = 1938
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FAQs on GCF of Fractions of 377/51, 653/114
1. What is the HCF of 377,653?
The HCF of 377,653 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 377/51, 653/114?
Answer: GCF of Numerators as per given numbers 377/51, 653/114 is
GCF of Numerators i.e. for 377,653 is 1
LCM of denominators i.e. for 51,114 is 1938.
Thus, GCF of Fractions is 1/1938.Finally, GCF of Fractions for 377/51, 653/114 is 1/1938.