GCF of 9860/609, 9715/5597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9860/609, 9715/5597 i.e 145/117537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9860/609, 9715/5597.
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 9860/609,9715/5597?
Given fractions are 9860/609,9715/5597
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 9860/609,9715/5597, numerators are 9860,9715
Denominators are 609,5597
The GCF of 9860,9715 is 145 .
LCM of 609,5597 is 117537.
The greatest common factor of 9860/609,9715/5597 = [GCF of 9860,9715]/[LCM of 609,5597]= 145/117537
Therefore, the GCF of 9860/609,9715/5597 is 145/117537.
To find the highest common factor of 9860,9715, we have to find the factors of both numbers and list the highest common factor.
The factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860
The factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715
The HCF of 9860,9715 is 145.
Lets's calculate GCF of 9860,9715
| 5 | 9860, 9715 |
| 29 | 1972, 1943 |
| 68, 67 |
∴ So the GCF of the given numbers is 5 x 29 = 145
Greatest Common Factor of 9860,9715 By Matching Biggest Common Factor Method
Now, list down the factors of 9860
:1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860
Now, list down the factors of 9715
:1,5,29,67,145,335,1943,9715
Greatest Common Factor
We found the factors 9860,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 9860,9715 is 145.
Lets's calculate LCM of 609,5597
| 29 | 609, 5597 |
| 21, 193 |
∴ So the LCM of the given numbers is 29 x 21 x 193 = 117537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 145/117537
Therefore, the GCF of Fractions 9860/609,9715/5597 is 145/117537
Least Common Multiple of 609,5597 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 609,5597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,5597) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(609,5597) x common factors =29 x 1 = 29
LCM(609,5597) = ( 609 × 5597 ) / 29
LCM(609,5597) = 3408573 / 29
LCM(609,5597) = 117537
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FAQs on GCF of Fractions of 9860/609, 9715/5597
1. What is the HCF of 9860,9715?
The HCF of 9860,9715 is 145
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 9860/609, 9715/5597?
Answer: GCF of Numerators as per given numbers 9860/609, 9715/5597 is
GCF of Numerators i.e. for 9860,9715 is 145
LCM of denominators i.e. for 609,5597 is 117537.
Thus, GCF of Fractions is 145/117537.Finally, GCF of Fractions for 9860/609, 9715/5597 is 145/117537.