GCF of 9727/174, 7382/6995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9727/174, 7382/6995 i.e 1/1217130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9727/174, 7382/6995.
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 9727/174,7382/6995?
Given fractions are 9727/174,7382/6995
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 9727/174,7382/6995, numerators are 9727,7382
Denominators are 174,6995
The GCF of 9727,7382 is 1 .
LCM of 174,6995 is 1217130.
The greatest common factor of 9727/174,7382/6995 = [GCF of 9727,7382]/[LCM of 174,6995]= 1/1217130
Therefore, the GCF of 9727/174,7382/6995 is 1/1217130.
To find the highest common factor of 9727,7382, we have to find the factors of both numbers and list the highest common factor.
The factors of 9727 are 1, 71, 137, 9727
The factors of 7382 are 1, 2, 3691, 7382
The HCF of 9727,7382 is 1.
Lets's calculate GCF of 9727,7382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9727,7382 By Matching Biggest Common Factor Method
Now, list down the factors of 9727
:1,71,137,9727
Now, list down the factors of 7382
:1,2,3691,7382
Greatest Common Factor
We found the factors 9727,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 9727,7382 is 1.
Lets's calculate LCM of 174,6995
Given numbers has no common factors except 1. So, there LCM is their product i.e 1217130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1217130
Therefore, the GCF of Fractions 9727/174,7382/6995 is 1/1217130
Least Common Multiple of 174,6995 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 174,6995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,6995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,6995) x common factors =1 x 1 = 1
LCM(174,6995) = ( 174 × 6995 ) / 1
LCM(174,6995) = 1217130 / 1
LCM(174,6995) = 1217130
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FAQs on GCF of Fractions of 9727/174, 7382/6995
1. What is the HCF of 9727,7382?
The HCF of 9727,7382 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 9727/174, 7382/6995?
Answer: GCF of Numerators as per given numbers 9727/174, 7382/6995 is
GCF of Numerators i.e. for 9727,7382 is 1
LCM of denominators i.e. for 174,6995 is 1217130.
Thus, GCF of Fractions is 1/1217130.Finally, GCF of Fractions for 9727/174, 7382/6995 is 1/1217130.