GCF of 9185/856, 1968/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9185/856, 1968/982 i.e 1/420296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9185/856, 1968/982.
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 9185/856,1968/982?
Given fractions are 9185/856,1968/982
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 9185/856,1968/982, numerators are 9185,1968
Denominators are 856,982
The GCF of 9185,1968 is 1 .
LCM of 856,982 is 420296.
The greatest common factor of 9185/856,1968/982 = [GCF of 9185,1968]/[LCM of 856,982]= 1/420296
Therefore, the GCF of 9185/856,1968/982 is 1/420296.
To find the highest common factor of 9185,1968, we have to find the factors of both numbers and list the highest common factor.
The factors of 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185
The factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968
The HCF of 9185,1968 is 1.
Lets's calculate GCF of 9185,1968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9185,1968 By Matching Biggest Common Factor Method
Now, list down the factors of 9185
:1,5,11,55,167,835,1837,9185
Now, list down the factors of 1968
:1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968
Greatest Common Factor
We found the factors 9185,1968 . The biggest common factor number is the GCF number.
So the greatest common factor 9185,1968 is 1.
Lets's calculate LCM of 856,982
| 2 | 856, 982 |
| 428, 491 |
∴ So the LCM of the given numbers is 2 x 428 x 491 = 420296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420296
Therefore, the GCF of Fractions 9185/856,1968/982 is 1/420296
Least Common Multiple of 856,982 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 856,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(856,982) x common factors =2 x 1 = 2
LCM(856,982) = ( 856 × 982 ) / 2
LCM(856,982) = 840592 / 2
LCM(856,982) = 420296
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FAQs on GCF of Fractions of 9185/856, 1968/982
1. What is the HCF of 9185,1968?
The HCF of 9185,1968 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 9185/856, 1968/982?
Answer: GCF of Numerators as per given numbers 9185/856, 1968/982 is
GCF of Numerators i.e. for 9185,1968 is 1
LCM of denominators i.e. for 856,982 is 420296.
Thus, GCF of Fractions is 1/420296.Finally, GCF of Fractions for 9185/856, 1968/982 is 1/420296.