GCF of 7362/139, 9940/935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7362/139, 9940/935 i.e 2/129965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7362/139, 9940/935.
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 7362/139,9940/935?
Given fractions are 7362/139,9940/935
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 7362/139,9940/935, numerators are 7362,9940
Denominators are 139,935
The GCF of 7362,9940 is 2 .
LCM of 139,935 is 129965.
The greatest common factor of 7362/139,9940/935 = [GCF of 7362,9940]/[LCM of 139,935]= 2/129965
Therefore, the GCF of 7362/139,9940/935 is 2/129965.
To find the highest common factor of 7362,9940, we have to find the factors of both numbers and list the highest common factor.
The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940
The HCF of 7362,9940 is 2.
Lets's calculate GCF of 7362,9940
| 2 | 7362, 9940 |
| 3681, 4970 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7362,9940 By Matching Biggest Common Factor Method
Now, list down the factors of 7362
:1,2,3,6,9,18,409,818,1227,2454,3681,7362
Now, list down the factors of 9940
:1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Greatest Common Factor
We found the factors 7362,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,9940 is 2.
Lets's calculate LCM of 139,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 129965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129965
Therefore, the GCF of Fractions 7362/139,9940/935 is 2/129965
Least Common Multiple of 139,935 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 139,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,935) x common factors =1 x 1 = 1
LCM(139,935) = ( 139 × 935 ) / 1
LCM(139,935) = 129965 / 1
LCM(139,935) = 129965
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FAQs on GCF of Fractions of 7362/139, 9940/935
1. What is the HCF of 7362,9940?
The HCF of 7362,9940 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 7362/139, 9940/935?
Answer: GCF of Numerators as per given numbers 7362/139, 9940/935 is
GCF of Numerators i.e. for 7362,9940 is 2
LCM of denominators i.e. for 139,935 is 129965.
Thus, GCF of Fractions is 2/129965.Finally, GCF of Fractions for 7362/139, 9940/935 is 2/129965.