GCF of 9596/341, 7755/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9596/341, 7755/194 i.e 1/66154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9596/341, 7755/194.
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 9596/341,7755/194?
Given fractions are 9596/341,7755/194
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 9596/341,7755/194, numerators are 9596,7755
Denominators are 341,194
The GCF of 9596,7755 is 1 .
LCM of 341,194 is 66154.
The greatest common factor of 9596/341,7755/194 = [GCF of 9596,7755]/[LCM of 341,194]= 1/66154
Therefore, the GCF of 9596/341,7755/194 is 1/66154.
To find the highest common factor of 9596,7755, we have to find the factors of both numbers and list the highest common factor.
The factors of 9596 are 1, 2, 4, 2399, 4798, 9596
The factors of 7755 are 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755
The HCF of 9596,7755 is 1.
Lets's calculate GCF of 9596,7755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9596,7755 By Matching Biggest Common Factor Method
Now, list down the factors of 9596
:1,2,4,2399,4798,9596
Now, list down the factors of 7755
:1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755
Greatest Common Factor
We found the factors 9596,7755 . The biggest common factor number is the GCF number.
So the greatest common factor 9596,7755 is 1.
Lets's calculate LCM of 341,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 66154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66154
Therefore, the GCF of Fractions 9596/341,7755/194 is 1/66154
Least Common Multiple of 341,194 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 341,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,194) x common factors =1 x 1 = 1
LCM(341,194) = ( 341 × 194 ) / 1
LCM(341,194) = 66154 / 1
LCM(341,194) = 66154
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FAQs on GCF of Fractions of 9596/341, 7755/194
1. What is the HCF of 9596,7755?
The HCF of 9596,7755 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 9596/341, 7755/194?
Answer: GCF of Numerators as per given numbers 9596/341, 7755/194 is
GCF of Numerators i.e. for 9596,7755 is 1
LCM of denominators i.e. for 341,194 is 66154.
Thus, GCF of Fractions is 1/66154.Finally, GCF of Fractions for 9596/341, 7755/194 is 1/66154.