GCF of 977/43, 977/9260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 977/43, 977/9260 i.e 977/398180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/43, 977/9260.
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 977/43,977/9260?
Given fractions are 977/43,977/9260
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 977/43,977/9260, numerators are 977,977
Denominators are 43,9260
The GCF of 977,977 is 977 .
LCM of 43,9260 is 398180.
The greatest common factor of 977/43,977/9260 = [GCF of 977,977]/[LCM of 43,9260]= 977/398180
Therefore, the GCF of 977/43,977/9260 is 977/398180.
To find the highest common factor of 977,977, we have to find the factors of both numbers and list the highest common factor.
The factors of 977 are 1, 977
The factors of 977 are 1, 977
The HCF of 977,977 is 977.
Lets's calculate GCF of 977,977
| 977 | 977, 977 |
| 1, 1 |
∴ So the GCF of the given numbers is 977 = 977
Greatest Common Factor of 977,977 By Matching Biggest Common Factor Method
Now, list down the factors of 977
:1,977
Now, list down the factors of 977
:1,977
Greatest Common Factor
We found the factors 977,977 . The biggest common factor number is the GCF number.
So the greatest common factor 977,977 is 977.
Lets's calculate LCM of 43,9260
Given numbers has no common factors except 1. So, there LCM is their product i.e 398180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 977/398180
Therefore, the GCF of Fractions 977/43,977/9260 is 977/398180
Least Common Multiple of 43,9260 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 43,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,9260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,9260) x common factors =1 x 1 = 1
LCM(43,9260) = ( 43 × 9260 ) / 1
LCM(43,9260) = 398180 / 1
LCM(43,9260) = 398180
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FAQs on GCF of Fractions of 977/43, 977/9260
1. What is the HCF of 977,977?
The HCF of 977,977 is 977
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 977/43, 977/9260?
Answer: GCF of Numerators as per given numbers 977/43, 977/9260 is
GCF of Numerators i.e. for 977,977 is 977
LCM of denominators i.e. for 43,9260 is 398180.
Thus, GCF of Fractions is 977/398180.Finally, GCF of Fractions for 977/43, 977/9260 is 977/398180.