GCF of 8117/474, 9322/5615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8117/474, 9322/5615 i.e 1/2661510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8117/474, 9322/5615.
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 8117/474,9322/5615?
Given fractions are 8117/474,9322/5615
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 8117/474,9322/5615, numerators are 8117,9322
Denominators are 474,5615
The GCF of 8117,9322 is 1 .
LCM of 474,5615 is 2661510.
The greatest common factor of 8117/474,9322/5615 = [GCF of 8117,9322]/[LCM of 474,5615]= 1/2661510
Therefore, the GCF of 8117/474,9322/5615 is 1/2661510.
To find the highest common factor of 8117,9322, we have to find the factors of both numbers and list the highest common factor.
The factors of 8117 are 1, 8117
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The HCF of 8117,9322 is 1.
Lets's calculate GCF of 8117,9322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8117,9322 By Matching Biggest Common Factor Method
Now, list down the factors of 8117
:1,8117
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors 8117,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 8117,9322 is 1.
Lets's calculate LCM of 474,5615
Given numbers has no common factors except 1. So, there LCM is their product i.e 2661510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2661510
Therefore, the GCF of Fractions 8117/474,9322/5615 is 1/2661510
Least Common Multiple of 474,5615 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 474,5615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,5615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,5615) x common factors =1 x 1 = 1
LCM(474,5615) = ( 474 × 5615 ) / 1
LCM(474,5615) = 2661510 / 1
LCM(474,5615) = 2661510
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FAQs on GCF of Fractions of 8117/474, 9322/5615
1. What is the HCF of 8117,9322?
The HCF of 8117,9322 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 8117/474, 9322/5615?
Answer: GCF of Numerators as per given numbers 8117/474, 9322/5615 is
GCF of Numerators i.e. for 8117,9322 is 1
LCM of denominators i.e. for 474,5615 is 2661510.
Thus, GCF of Fractions is 1/2661510.Finally, GCF of Fractions for 8117/474, 9322/5615 is 1/2661510.