GCF of 9710/152, 5967/846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9710/152, 5967/846 i.e 1/64296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9710/152, 5967/846.
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 9710/152,5967/846?
Given fractions are 9710/152,5967/846
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 9710/152,5967/846, numerators are 9710,5967
Denominators are 152,846
The GCF of 9710,5967 is 1 .
LCM of 152,846 is 64296.
The greatest common factor of 9710/152,5967/846 = [GCF of 9710,5967]/[LCM of 152,846]= 1/64296
Therefore, the GCF of 9710/152,5967/846 is 1/64296.
To find the highest common factor of 9710,5967, we have to find the factors of both numbers and list the highest common factor.
The factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
The HCF of 9710,5967 is 1.
Lets's calculate GCF of 9710,5967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9710,5967 By Matching Biggest Common Factor Method
Now, list down the factors of 9710
:1,2,5,10,971,1942,4855,9710
Now, list down the factors of 5967
:1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Greatest Common Factor
We found the factors 9710,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 9710,5967 is 1.
Lets's calculate LCM of 152,846
| 2 | 152, 846 |
| 76, 423 |
∴ So the LCM of the given numbers is 2 x 76 x 423 = 64296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64296
Therefore, the GCF of Fractions 9710/152,5967/846 is 1/64296
Least Common Multiple of 152,846 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 152,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,846) x common factors =2 x 1 = 2
LCM(152,846) = ( 152 × 846 ) / 2
LCM(152,846) = 128592 / 2
LCM(152,846) = 64296
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FAQs on GCF of Fractions of 9710/152, 5967/846
1. What is the HCF of 9710,5967?
The HCF of 9710,5967 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 9710/152, 5967/846?
Answer: GCF of Numerators as per given numbers 9710/152, 5967/846 is
GCF of Numerators i.e. for 9710,5967 is 1
LCM of denominators i.e. for 152,846 is 64296.
Thus, GCF of Fractions is 1/64296.Finally, GCF of Fractions for 9710/152, 5967/846 is 1/64296.