GCF of 7571/174, 7704/8707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7571/174, 7704/8707 i.e 1/1515018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7571/174, 7704/8707.
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 7571/174,7704/8707?
Given fractions are 7571/174,7704/8707
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 7571/174,7704/8707, numerators are 7571,7704
Denominators are 174,8707
The GCF of 7571,7704 is 1 .
LCM of 174,8707 is 1515018.
The greatest common factor of 7571/174,7704/8707 = [GCF of 7571,7704]/[LCM of 174,8707]= 1/1515018
Therefore, the GCF of 7571/174,7704/8707 is 1/1515018.
To find the highest common factor of 7571,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 7571 are 1, 67, 113, 7571
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 7571,7704 is 1.
Lets's calculate GCF of 7571,7704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7571,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 7571
:1,67,113,7571
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 7571,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 7571,7704 is 1.
Lets's calculate LCM of 174,8707
Given numbers has no common factors except 1. So, there LCM is their product i.e 1515018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515018
Therefore, the GCF of Fractions 7571/174,7704/8707 is 1/1515018
Least Common Multiple of 174,8707 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 174,8707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,8707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,8707) x common factors =1 x 1 = 1
LCM(174,8707) = ( 174 × 8707 ) / 1
LCM(174,8707) = 1515018 / 1
LCM(174,8707) = 1515018
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FAQs on GCF of Fractions of 7571/174, 7704/8707
1. What is the HCF of 7571,7704?
The HCF of 7571,7704 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 7571/174, 7704/8707?
Answer: GCF of Numerators as per given numbers 7571/174, 7704/8707 is
GCF of Numerators i.e. for 7571,7704 is 1
LCM of denominators i.e. for 174,8707 is 1515018.
Thus, GCF of Fractions is 1/1515018.Finally, GCF of Fractions for 7571/174, 7704/8707 is 1/1515018.