GCF of 4837/806, 8135/9370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4837/806, 8135/9370 i.e 1/3776110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4837/806, 8135/9370.
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 4837/806,8135/9370?
Given fractions are 4837/806,8135/9370
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 4837/806,8135/9370, numerators are 4837,8135
Denominators are 806,9370
The GCF of 4837,8135 is 1 .
LCM of 806,9370 is 3776110.
The greatest common factor of 4837/806,8135/9370 = [GCF of 4837,8135]/[LCM of 806,9370]= 1/3776110
Therefore, the GCF of 4837/806,8135/9370 is 1/3776110.
To find the highest common factor of 4837,8135, we have to find the factors of both numbers and list the highest common factor.
The factors of 4837 are 1, 7, 691, 4837
The factors of 8135 are 1, 5, 1627, 8135
The HCF of 4837,8135 is 1.
Lets's calculate GCF of 4837,8135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4837,8135 By Matching Biggest Common Factor Method
Now, list down the factors of 4837
:1,7,691,4837
Now, list down the factors of 8135
:1,5,1627,8135
Greatest Common Factor
We found the factors 4837,8135 . The biggest common factor number is the GCF number.
So the greatest common factor 4837,8135 is 1.
Lets's calculate LCM of 806,9370
| 2 | 806, 9370 |
| 403, 4685 |
∴ So the LCM of the given numbers is 2 x 403 x 4685 = 3776110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3776110
Therefore, the GCF of Fractions 4837/806,8135/9370 is 1/3776110
Least Common Multiple of 806,9370 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 806,9370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,9370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,9370) x common factors =2 x 1 = 2
LCM(806,9370) = ( 806 × 9370 ) / 2
LCM(806,9370) = 7552220 / 2
LCM(806,9370) = 3776110
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FAQs on GCF of Fractions of 4837/806, 8135/9370
1. What is the HCF of 4837,8135?
The HCF of 4837,8135 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 4837/806, 8135/9370?
Answer: GCF of Numerators as per given numbers 4837/806, 8135/9370 is
GCF of Numerators i.e. for 4837,8135 is 1
LCM of denominators i.e. for 806,9370 is 3776110.
Thus, GCF of Fractions is 1/3776110.Finally, GCF of Fractions for 4837/806, 8135/9370 is 1/3776110.