GCF of 2737/119, 9977/7616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2737/119, 9977/7616 i.e 1/7616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2737/119, 9977/7616.
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 2737/119,9977/7616?
Given fractions are 2737/119,9977/7616
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 2737/119,9977/7616, numerators are 2737,9977
Denominators are 119,7616
The GCF of 2737,9977 is 1 .
LCM of 119,7616 is 7616.
The greatest common factor of 2737/119,9977/7616 = [GCF of 2737,9977]/[LCM of 119,7616]= 1/7616
Therefore, the GCF of 2737/119,9977/7616 is 1/7616.
To find the highest common factor of 2737,9977, we have to find the factors of both numbers and list the highest common factor.
The factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737
The factors of 9977 are 1, 11, 907, 9977
The HCF of 2737,9977 is 1.
Lets's calculate GCF of 2737,9977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2737,9977 By Matching Biggest Common Factor Method
Now, list down the factors of 2737
:1,7,17,23,119,161,391,2737
Now, list down the factors of 9977
:1,11,907,9977
Greatest Common Factor
We found the factors 2737,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 2737,9977 is 1.
Lets's calculate LCM of 119,7616
| 7 | 119, 7616 |
| 17 | 17, 1088 |
| 1, 64 |
∴ So the LCM of the given numbers is 7 x 17 x 1 x 64 = 7616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7616
Therefore, the GCF of Fractions 2737/119,9977/7616 is 1/7616
Least Common Multiple of 119,7616 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 119,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,7616) = 119
common factors(in case of two or more numbers have common factors) = 1
GCF(119,7616) x common factors =119 x 1 = 119
LCM(119,7616) = ( 119 × 7616 ) / 119
LCM(119,7616) = 906304 / 119
LCM(119,7616) = 7616
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FAQs on GCF of Fractions of 2737/119, 9977/7616
1. What is the HCF of 2737,9977?
The HCF of 2737,9977 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 2737/119, 9977/7616?
Answer: GCF of Numerators as per given numbers 2737/119, 9977/7616 is
GCF of Numerators i.e. for 2737,9977 is 1
LCM of denominators i.e. for 119,7616 is 7616.
Thus, GCF of Fractions is 1/7616.Finally, GCF of Fractions for 2737/119, 9977/7616 is 1/7616.