GCF of 2147/375, 9944/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2147/375, 9944/594 i.e 113/74250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2147/375, 9944/594.
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 2147/375,9944/594?
Given fractions are 2147/375,9944/594
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 2147/375,9944/594, numerators are 2147,9944
Denominators are 375,594
The GCF of 2147,9944 is 113 .
LCM of 375,594 is 74250.
The greatest common factor of 2147/375,9944/594 = [GCF of 2147,9944]/[LCM of 375,594]= 113/74250
Therefore, the GCF of 2147/375,9944/594 is 113/74250.
To find the highest common factor of 2147,9944, we have to find the factors of both numbers and list the highest common factor.
The factors of 2147 are 1, 19, 113, 2147
The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944
The HCF of 2147,9944 is 113.
Lets's calculate GCF of 2147,9944
| 113 | 2147, 9944 |
| 19, 88 |
∴ So the GCF of the given numbers is 113 = 113
Greatest Common Factor of 2147,9944 By Matching Biggest Common Factor Method
Now, list down the factors of 2147
:1,19,113,2147
Now, list down the factors of 9944
:1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944
Greatest Common Factor
We found the factors 2147,9944 . The biggest common factor number is the GCF number.
So the greatest common factor 2147,9944 is 113.
Lets's calculate LCM of 375,594
| 3 | 375, 594 |
| 125, 198 |
∴ So the LCM of the given numbers is 3 x 125 x 198 = 74250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/74250
Therefore, the GCF of Fractions 2147/375,9944/594 is 113/74250
Least Common Multiple of 375,594 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 375,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,594) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,594) x common factors =3 x 1 = 3
LCM(375,594) = ( 375 × 594 ) / 3
LCM(375,594) = 222750 / 3
LCM(375,594) = 74250
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FAQs on GCF of Fractions of 2147/375, 9944/594
1. What is the HCF of 2147,9944?
The HCF of 2147,9944 is 113
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 2147/375, 9944/594?
Answer: GCF of Numerators as per given numbers 2147/375, 9944/594 is
GCF of Numerators i.e. for 2147,9944 is 113
LCM of denominators i.e. for 375,594 is 74250.
Thus, GCF of Fractions is 113/74250.Finally, GCF of Fractions for 2147/375, 9944/594 is 113/74250.