GCF of 362/739, 938/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 362/739, 938/966 i.e 2/713874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/739, 938/966.
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 362/739,938/966?
Given fractions are 362/739,938/966
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 362/739,938/966, numerators are 362,938
Denominators are 739,966
The GCF of 362,938 is 2 .
LCM of 739,966 is 713874.
The greatest common factor of 362/739,938/966 = [GCF of 362,938]/[LCM of 739,966]= 2/713874
Therefore, the GCF of 362/739,938/966 is 2/713874.
To find the highest common factor of 362,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 362 are 1, 2, 181, 362
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 362,938 is 2.
Lets's calculate GCF of 362,938
| 2 | 362, 938 |
| 181, 469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 362,938 By Matching Biggest Common Factor Method
Now, list down the factors of 362
:1,2,181,362
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 362,938 . The biggest common factor number is the GCF number.
So the greatest common factor 362,938 is 2.
Lets's calculate LCM of 739,966
Given numbers has no common factors except 1. So, there LCM is their product i.e 713874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/713874
Therefore, the GCF of Fractions 362/739,938/966 is 2/713874
Least Common Multiple of 739,966 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 739,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,966) x common factors =1 x 1 = 1
LCM(739,966) = ( 739 × 966 ) / 1
LCM(739,966) = 713874 / 1
LCM(739,966) = 713874
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FAQs on GCF of Fractions of 362/739, 938/966
1. What is the HCF of 362,938?
The HCF of 362,938 is 2
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 362/739, 938/966?
Answer: GCF of Numerators as per given numbers 362/739, 938/966 is
GCF of Numerators i.e. for 362,938 is 2
LCM of denominators i.e. for 739,966 is 713874.
Thus, GCF of Fractions is 2/713874.Finally, GCF of Fractions for 362/739, 938/966 is 2/713874.