GCF of 9317/136, 1070/5204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9317/136, 1070/5204 i.e 1/176936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9317/136, 1070/5204.
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 9317/136,1070/5204?
Given fractions are 9317/136,1070/5204
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 9317/136,1070/5204, numerators are 9317,1070
Denominators are 136,5204
The GCF of 9317,1070 is 1 .
LCM of 136,5204 is 176936.
The greatest common factor of 9317/136,1070/5204 = [GCF of 9317,1070]/[LCM of 136,5204]= 1/176936
Therefore, the GCF of 9317/136,1070/5204 is 1/176936.
To find the highest common factor of 9317,1070, we have to find the factors of both numbers and list the highest common factor.
The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317
The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070
The HCF of 9317,1070 is 1.
Lets's calculate GCF of 9317,1070
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9317,1070 By Matching Biggest Common Factor Method
Now, list down the factors of 9317
:1,7,11,77,121,847,1331,9317
Now, list down the factors of 1070
:1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors 9317,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 9317,1070 is 1.
Lets's calculate LCM of 136,5204
| 2 | 136, 5204 |
| 2 | 68, 2602 |
| 34, 1301 |
∴ So the LCM of the given numbers is 2 x 2 x 34 x 1301 = 176936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176936
Therefore, the GCF of Fractions 9317/136,1070/5204 is 1/176936
Least Common Multiple of 136,5204 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 136,5204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,5204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(136,5204) x common factors =4 x 1 = 4
LCM(136,5204) = ( 136 × 5204 ) / 4
LCM(136,5204) = 707744 / 4
LCM(136,5204) = 176936
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FAQs on GCF of Fractions of 9317/136, 1070/5204
1. What is the HCF of 9317,1070?
The HCF of 9317,1070 is 1
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 9317/136, 1070/5204?
Answer: GCF of Numerators as per given numbers 9317/136, 1070/5204 is
GCF of Numerators i.e. for 9317,1070 is 1
LCM of denominators i.e. for 136,5204 is 176936.
Thus, GCF of Fractions is 1/176936.Finally, GCF of Fractions for 9317/136, 1070/5204 is 1/176936.