GCF of 9503/724, 5117/2570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9503/724, 5117/2570 i.e 731/930340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9503/724, 5117/2570.
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 9503/724,5117/2570?
Given fractions are 9503/724,5117/2570
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 9503/724,5117/2570, numerators are 9503,5117
Denominators are 724,2570
The GCF of 9503,5117 is 731 .
LCM of 724,2570 is 930340.
The greatest common factor of 9503/724,5117/2570 = [GCF of 9503,5117]/[LCM of 724,2570]= 731/930340
Therefore, the GCF of 9503/724,5117/2570 is 731/930340.
To find the highest common factor of 9503,5117, we have to find the factors of both numbers and list the highest common factor.
The factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503
The factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117
The HCF of 9503,5117 is 731.
Lets's calculate GCF of 9503,5117
| 17 | 9503, 5117 |
| 43 | 559, 301 |
| 13, 7 |
∴ So the GCF of the given numbers is 17 x 43 = 731
Greatest Common Factor of 9503,5117 By Matching Biggest Common Factor Method
Now, list down the factors of 9503
:1,13,17,43,221,559,731,9503
Now, list down the factors of 5117
:1,7,17,43,119,301,731,5117
Greatest Common Factor
We found the factors 9503,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 9503,5117 is 731.
Lets's calculate LCM of 724,2570
| 2 | 724, 2570 |
| 362, 1285 |
∴ So the LCM of the given numbers is 2 x 362 x 1285 = 930340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 731/930340
Therefore, the GCF of Fractions 9503/724,5117/2570 is 731/930340
Least Common Multiple of 724,2570 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 724,2570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,2570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,2570) x common factors =2 x 1 = 2
LCM(724,2570) = ( 724 × 2570 ) / 2
LCM(724,2570) = 1860680 / 2
LCM(724,2570) = 930340
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FAQs on GCF of Fractions of 9503/724, 5117/2570
1. What is the HCF of 9503,5117?
The HCF of 9503,5117 is 731
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 9503/724, 5117/2570?
Answer: GCF of Numerators as per given numbers 9503/724, 5117/2570 is
GCF of Numerators i.e. for 9503,5117 is 731
LCM of denominators i.e. for 724,2570 is 930340.
Thus, GCF of Fractions is 731/930340.Finally, GCF of Fractions for 9503/724, 5117/2570 is 731/930340.