GCF of 961/519, 7130/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/519, 7130/718 i.e 31/372642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/519, 7130/718.
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 961/519,7130/718?
Given fractions are 961/519,7130/718
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 961/519,7130/718, numerators are 961,7130
Denominators are 519,718
The GCF of 961,7130 is 31 .
LCM of 519,718 is 372642.
The greatest common factor of 961/519,7130/718 = [GCF of 961,7130]/[LCM of 519,718]= 31/372642
Therefore, the GCF of 961/519,7130/718 is 31/372642.
To find the highest common factor of 961,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 961,7130 is 31.
Lets's calculate GCF of 961,7130
| 31 | 961, 7130 |
| 31, 230 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 961,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 961,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 961,7130 is 31.
Lets's calculate LCM of 519,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 372642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/372642
Therefore, the GCF of Fractions 961/519,7130/718 is 31/372642
Least Common Multiple of 519,718 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 519,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,718) x common factors =1 x 1 = 1
LCM(519,718) = ( 519 × 718 ) / 1
LCM(519,718) = 372642 / 1
LCM(519,718) = 372642
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FAQs on GCF of Fractions of 961/519, 7130/718
1. What is the HCF of 961,7130?
The HCF of 961,7130 is 31
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 961/519, 7130/718?
Answer: GCF of Numerators as per given numbers 961/519, 7130/718 is
GCF of Numerators i.e. for 961,7130 is 31
LCM of denominators i.e. for 519,718 is 372642.
Thus, GCF of Fractions is 31/372642.Finally, GCF of Fractions for 961/519, 7130/718 is 31/372642.