GCF of 4422/692, 9944/2034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4422/692, 9944/2034 i.e 22/703764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4422/692, 9944/2034.
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 4422/692,9944/2034?
Given fractions are 4422/692,9944/2034
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 4422/692,9944/2034, numerators are 4422,9944
Denominators are 692,2034
The GCF of 4422,9944 is 22 .
LCM of 692,2034 is 703764.
The greatest common factor of 4422/692,9944/2034 = [GCF of 4422,9944]/[LCM of 692,2034]= 22/703764
Therefore, the GCF of 4422/692,9944/2034 is 22/703764.
To find the highest common factor of 4422,9944, we have to find the factors of both numbers and list the highest common factor.
The factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422
The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944
The HCF of 4422,9944 is 22.
Lets's calculate GCF of 4422,9944
| 2 | 4422, 9944 |
| 11 | 2211, 4972 |
| 201, 452 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 4422,9944 By Matching Biggest Common Factor Method
Now, list down the factors of 4422
:1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
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 4422,9944 . The biggest common factor number is the GCF number.
So the greatest common factor 4422,9944 is 22.
Lets's calculate LCM of 692,2034
| 2 | 692, 2034 |
| 346, 1017 |
∴ So the LCM of the given numbers is 2 x 346 x 1017 = 703764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/703764
Therefore, the GCF of Fractions 4422/692,9944/2034 is 22/703764
Least Common Multiple of 692,2034 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 692,2034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,2034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,2034) x common factors =2 x 1 = 2
LCM(692,2034) = ( 692 × 2034 ) / 2
LCM(692,2034) = 1407528 / 2
LCM(692,2034) = 703764
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FAQs on GCF of Fractions of 4422/692, 9944/2034
1. What is the HCF of 4422,9944?
The HCF of 4422,9944 is 22
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 4422/692, 9944/2034?
Answer: GCF of Numerators as per given numbers 4422/692, 9944/2034 is
GCF of Numerators i.e. for 4422,9944 is 22
LCM of denominators i.e. for 692,2034 is 703764.
Thus, GCF of Fractions is 22/703764.Finally, GCF of Fractions for 4422/692, 9944/2034 is 22/703764.