GCF of 9501/599, 7486/6977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9501/599, 7486/6977 i.e 1/4179223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9501/599, 7486/6977.
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 9501/599,7486/6977?
Given fractions are 9501/599,7486/6977
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 9501/599,7486/6977, numerators are 9501,7486
Denominators are 599,6977
The GCF of 9501,7486 is 1 .
LCM of 599,6977 is 4179223.
The greatest common factor of 9501/599,7486/6977 = [GCF of 9501,7486]/[LCM of 599,6977]= 1/4179223
Therefore, the GCF of 9501/599,7486/6977 is 1/4179223.
To find the highest common factor of 9501,7486, we have to find the factors of both numbers and list the highest common factor.
The factors of 9501 are 1, 3, 3167, 9501
The factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486
The HCF of 9501,7486 is 1.
Lets's calculate GCF of 9501,7486
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9501,7486 By Matching Biggest Common Factor Method
Now, list down the factors of 9501
:1,3,3167,9501
Now, list down the factors of 7486
:1,2,19,38,197,394,3743,7486
Greatest Common Factor
We found the factors 9501,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 9501,7486 is 1.
Lets's calculate LCM of 599,6977
Given numbers has no common factors except 1. So, there LCM is their product i.e 4179223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4179223
Therefore, the GCF of Fractions 9501/599,7486/6977 is 1/4179223
Least Common Multiple of 599,6977 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 599,6977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,6977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,6977) x common factors =1 x 1 = 1
LCM(599,6977) = ( 599 × 6977 ) / 1
LCM(599,6977) = 4179223 / 1
LCM(599,6977) = 4179223
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FAQs on GCF of Fractions of 9501/599, 7486/6977
1. What is the HCF of 9501,7486?
The HCF of 9501,7486 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 9501/599, 7486/6977?
Answer: GCF of Numerators as per given numbers 9501/599, 7486/6977 is
GCF of Numerators i.e. for 9501,7486 is 1
LCM of denominators i.e. for 599,6977 is 4179223.
Thus, GCF of Fractions is 1/4179223.Finally, GCF of Fractions for 9501/599, 7486/6977 is 1/4179223.