GCF of 7085/277, 9659/4662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7085/277, 9659/4662 i.e 13/1291374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7085/277, 9659/4662.
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 7085/277,9659/4662?
Given fractions are 7085/277,9659/4662
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 7085/277,9659/4662, numerators are 7085,9659
Denominators are 277,4662
The GCF of 7085,9659 is 13 .
LCM of 277,4662 is 1291374.
The greatest common factor of 7085/277,9659/4662 = [GCF of 7085,9659]/[LCM of 277,4662]= 13/1291374
Therefore, the GCF of 7085/277,9659/4662 is 13/1291374.
To find the highest common factor of 7085,9659, we have to find the factors of both numbers and list the highest common factor.
The factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085
The factors of 9659 are 1, 13, 743, 9659
The HCF of 7085,9659 is 13.
Lets's calculate GCF of 7085,9659
| 13 | 7085, 9659 |
| 545, 743 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7085,9659 By Matching Biggest Common Factor Method
Now, list down the factors of 7085
:1,5,13,65,109,545,1417,7085
Now, list down the factors of 9659
:1,13,743,9659
Greatest Common Factor
We found the factors 7085,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 7085,9659 is 13.
Lets's calculate LCM of 277,4662
Given numbers has no common factors except 1. So, there LCM is their product i.e 1291374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1291374
Therefore, the GCF of Fractions 7085/277,9659/4662 is 13/1291374
Least Common Multiple of 277,4662 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 277,4662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,4662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,4662) x common factors =1 x 1 = 1
LCM(277,4662) = ( 277 × 4662 ) / 1
LCM(277,4662) = 1291374 / 1
LCM(277,4662) = 1291374
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FAQs on GCF of Fractions of 7085/277, 9659/4662
1. What is the HCF of 7085,9659?
The HCF of 7085,9659 is 13
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 7085/277, 9659/4662?
Answer: GCF of Numerators as per given numbers 7085/277, 9659/4662 is
GCF of Numerators i.e. for 7085,9659 is 13
LCM of denominators i.e. for 277,4662 is 1291374.
Thus, GCF of Fractions is 13/1291374.Finally, GCF of Fractions for 7085/277, 9659/4662 is 13/1291374.