GCF of 9918/757, 6670/4117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9918/757, 6670/4117 i.e 58/3116569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9918/757, 6670/4117.
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 9918/757,6670/4117?
Given fractions are 9918/757,6670/4117
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 9918/757,6670/4117, numerators are 9918,6670
Denominators are 757,4117
The GCF of 9918,6670 is 58 .
LCM of 757,4117 is 3116569.
The greatest common factor of 9918/757,6670/4117 = [GCF of 9918,6670]/[LCM of 757,4117]= 58/3116569
Therefore, the GCF of 9918/757,6670/4117 is 58/3116569.
To find the highest common factor of 9918,6670, we have to find the factors of both numbers and list the highest common factor.
The factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The HCF of 9918,6670 is 58.
Lets's calculate GCF of 9918,6670
| 2 | 9918, 6670 |
| 29 | 4959, 3335 |
| 171, 115 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 9918,6670 By Matching Biggest Common Factor Method
Now, list down the factors of 9918
:1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Greatest Common Factor
We found the factors 9918,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 9918,6670 is 58.
Lets's calculate LCM of 757,4117
Given numbers has no common factors except 1. So, there LCM is their product i.e 3116569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/3116569
Therefore, the GCF of Fractions 9918/757,6670/4117 is 58/3116569
Least Common Multiple of 757,4117 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 757,4117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,4117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,4117) x common factors =1 x 1 = 1
LCM(757,4117) = ( 757 × 4117 ) / 1
LCM(757,4117) = 3116569 / 1
LCM(757,4117) = 3116569
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FAQs on GCF of Fractions of 9918/757, 6670/4117
1. What is the HCF of 9918,6670?
The HCF of 9918,6670 is 58
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 9918/757, 6670/4117?
Answer: GCF of Numerators as per given numbers 9918/757, 6670/4117 is
GCF of Numerators i.e. for 9918,6670 is 58
LCM of denominators i.e. for 757,4117 is 3116569.
Thus, GCF of Fractions is 58/3116569.Finally, GCF of Fractions for 9918/757, 6670/4117 is 58/3116569.