GCF of 9442/672, 3172/6698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9442/672, 3172/6698 i.e 2/2250528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9442/672, 3172/6698.
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 9442/672,3172/6698?
Given fractions are 9442/672,3172/6698
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 9442/672,3172/6698, numerators are 9442,3172
Denominators are 672,6698
The GCF of 9442,3172 is 2 .
LCM of 672,6698 is 2250528.
The greatest common factor of 9442/672,3172/6698 = [GCF of 9442,3172]/[LCM of 672,6698]= 2/2250528
Therefore, the GCF of 9442/672,3172/6698 is 2/2250528.
To find the highest common factor of 9442,3172, we have to find the factors of both numbers and list the highest common factor.
The factors of 9442 are 1, 2, 4721, 9442
The factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172
The HCF of 9442,3172 is 2.
Lets's calculate GCF of 9442,3172
| 2 | 9442, 3172 |
| 4721, 1586 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9442,3172 By Matching Biggest Common Factor Method
Now, list down the factors of 9442
:1,2,4721,9442
Now, list down the factors of 3172
:1,2,4,13,26,52,61,122,244,793,1586,3172
Greatest Common Factor
We found the factors 9442,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 9442,3172 is 2.
Lets's calculate LCM of 672,6698
| 2 | 672, 6698 |
| 336, 3349 |
∴ So the LCM of the given numbers is 2 x 336 x 3349 = 2250528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2250528
Therefore, the GCF of Fractions 9442/672,3172/6698 is 2/2250528
Least Common Multiple of 672,6698 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 672,6698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,6698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(672,6698) x common factors =2 x 1 = 2
LCM(672,6698) = ( 672 × 6698 ) / 2
LCM(672,6698) = 4501056 / 2
LCM(672,6698) = 2250528
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FAQs on GCF of Fractions of 9442/672, 3172/6698
1. What is the HCF of 9442,3172?
The HCF of 9442,3172 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 9442/672, 3172/6698?
Answer: GCF of Numerators as per given numbers 9442/672, 3172/6698 is
GCF of Numerators i.e. for 9442,3172 is 2
LCM of denominators i.e. for 672,6698 is 2250528.
Thus, GCF of Fractions is 2/2250528.Finally, GCF of Fractions for 9442/672, 3172/6698 is 2/2250528.