GCF of 9601/430, 5640/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9601/430, 5640/495 i.e 1/42570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9601/430, 5640/495.
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 9601/430,5640/495?
Given fractions are 9601/430,5640/495
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 9601/430,5640/495, numerators are 9601,5640
Denominators are 430,495
The GCF of 9601,5640 is 1 .
LCM of 430,495 is 42570.
The greatest common factor of 9601/430,5640/495 = [GCF of 9601,5640]/[LCM of 430,495]= 1/42570
Therefore, the GCF of 9601/430,5640/495 is 1/42570.
To find the highest common factor of 9601,5640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9601 are 1, 9601
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The HCF of 9601,5640 is 1.
Lets's calculate GCF of 9601,5640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9601,5640 By Matching Biggest Common Factor Method
Now, list down the factors of 9601
:1,9601
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Greatest Common Factor
We found the factors 9601,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 9601,5640 is 1.
Lets's calculate LCM of 430,495
| 5 | 430, 495 |
| 86, 99 |
∴ So the LCM of the given numbers is 5 x 86 x 99 = 42570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42570
Therefore, the GCF of Fractions 9601/430,5640/495 is 1/42570
Least Common Multiple of 430,495 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 430,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,495) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(430,495) x common factors =5 x 1 = 5
LCM(430,495) = ( 430 × 495 ) / 5
LCM(430,495) = 212850 / 5
LCM(430,495) = 42570
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FAQs on GCF of Fractions of 9601/430, 5640/495
1. What is the HCF of 9601,5640?
The HCF of 9601,5640 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 9601/430, 5640/495?
Answer: GCF of Numerators as per given numbers 9601/430, 5640/495 is
GCF of Numerators i.e. for 9601,5640 is 1
LCM of denominators i.e. for 430,495 is 42570.
Thus, GCF of Fractions is 1/42570.Finally, GCF of Fractions for 9601/430, 5640/495 is 1/42570.