GCF of 9394/764, 1891/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9394/764, 1891/746 i.e 61/284972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9394/764, 1891/746.
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 9394/764,1891/746?
Given fractions are 9394/764,1891/746
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 9394/764,1891/746, numerators are 9394,1891
Denominators are 764,746
The GCF of 9394,1891 is 61 .
LCM of 764,746 is 284972.
The greatest common factor of 9394/764,1891/746 = [GCF of 9394,1891]/[LCM of 764,746]= 61/284972
Therefore, the GCF of 9394/764,1891/746 is 61/284972.
To find the highest common factor of 9394,1891, we have to find the factors of both numbers and list the highest common factor.
The factors of 9394 are 1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394
The factors of 1891 are 1, 31, 61, 1891
The HCF of 9394,1891 is 61.
Lets's calculate GCF of 9394,1891
| 61 | 9394, 1891 |
| 154, 31 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 9394,1891 By Matching Biggest Common Factor Method
Now, list down the factors of 9394
:1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394
Now, list down the factors of 1891
:1,31,61,1891
Greatest Common Factor
We found the factors 9394,1891 . The biggest common factor number is the GCF number.
So the greatest common factor 9394,1891 is 61.
Lets's calculate LCM of 764,746
| 2 | 764, 746 |
| 382, 373 |
∴ So the LCM of the given numbers is 2 x 382 x 373 = 284972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/284972
Therefore, the GCF of Fractions 9394/764,1891/746 is 61/284972
Least Common Multiple of 764,746 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 764,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,746) x common factors =2 x 1 = 2
LCM(764,746) = ( 764 × 746 ) / 2
LCM(764,746) = 569944 / 2
LCM(764,746) = 284972
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FAQs on GCF of Fractions of 9394/764, 1891/746
1. What is the HCF of 9394,1891?
The HCF of 9394,1891 is 61
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 9394/764, 1891/746?
Answer: GCF of Numerators as per given numbers 9394/764, 1891/746 is
GCF of Numerators i.e. for 9394,1891 is 61
LCM of denominators i.e. for 764,746 is 284972.
Thus, GCF of Fractions is 61/284972.Finally, GCF of Fractions for 9394/764, 1891/746 is 61/284972.