GCF of 9640/554, 2242/7912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9640/554, 2242/7912 i.e 2/2191624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9640/554, 2242/7912.
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 9640/554,2242/7912?
Given fractions are 9640/554,2242/7912
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 9640/554,2242/7912, numerators are 9640,2242
Denominators are 554,7912
The GCF of 9640,2242 is 2 .
LCM of 554,7912 is 2191624.
The greatest common factor of 9640/554,2242/7912 = [GCF of 9640,2242]/[LCM of 554,7912]= 2/2191624
Therefore, the GCF of 9640/554,2242/7912 is 2/2191624.
To find the highest common factor of 9640,2242, we have to find the factors of both numbers and list the highest common factor.
The factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The HCF of 9640,2242 is 2.
Lets's calculate GCF of 9640,2242
| 2 | 9640, 2242 |
| 4820, 1121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9640,2242 By Matching Biggest Common Factor Method
Now, list down the factors of 9640
:1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Greatest Common Factor
We found the factors 9640,2242 . The biggest common factor number is the GCF number.
So the greatest common factor 9640,2242 is 2.
Lets's calculate LCM of 554,7912
| 2 | 554, 7912 |
| 277, 3956 |
∴ So the LCM of the given numbers is 2 x 277 x 3956 = 2191624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2191624
Therefore, the GCF of Fractions 9640/554,2242/7912 is 2/2191624
Least Common Multiple of 554,7912 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 554,7912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,7912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,7912) x common factors =2 x 1 = 2
LCM(554,7912) = ( 554 × 7912 ) / 2
LCM(554,7912) = 4383248 / 2
LCM(554,7912) = 2191624
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FAQs on GCF of Fractions of 9640/554, 2242/7912
1. What is the HCF of 9640,2242?
The HCF of 9640,2242 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 9640/554, 2242/7912?
Answer: GCF of Numerators as per given numbers 9640/554, 2242/7912 is
GCF of Numerators i.e. for 9640,2242 is 2
LCM of denominators i.e. for 554,7912 is 2191624.
Thus, GCF of Fractions is 2/2191624.Finally, GCF of Fractions for 9640/554, 2242/7912 is 2/2191624.