GCF of 9646/226, 4537/7627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9646/226, 4537/7627 i.e 13/1723702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9646/226, 4537/7627.
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 9646/226,4537/7627?
Given fractions are 9646/226,4537/7627
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 9646/226,4537/7627, numerators are 9646,4537
Denominators are 226,7627
The GCF of 9646,4537 is 13 .
LCM of 226,7627 is 1723702.
The greatest common factor of 9646/226,4537/7627 = [GCF of 9646,4537]/[LCM of 226,7627]= 13/1723702
Therefore, the GCF of 9646/226,4537/7627 is 13/1723702.
To find the highest common factor of 9646,4537, we have to find the factors of both numbers and list the highest common factor.
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The factors of 4537 are 1, 13, 349, 4537
The HCF of 9646,4537 is 13.
Lets's calculate GCF of 9646,4537
| 13 | 9646, 4537 |
| 742, 349 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9646,4537 By Matching Biggest Common Factor Method
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Now, list down the factors of 4537
:1,13,349,4537
Greatest Common Factor
We found the factors 9646,4537 . The biggest common factor number is the GCF number.
So the greatest common factor 9646,4537 is 13.
Lets's calculate LCM of 226,7627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1723702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1723702
Therefore, the GCF of Fractions 9646/226,4537/7627 is 13/1723702
Least Common Multiple of 226,7627 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 226,7627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,7627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,7627) x common factors =1 x 1 = 1
LCM(226,7627) = ( 226 × 7627 ) / 1
LCM(226,7627) = 1723702 / 1
LCM(226,7627) = 1723702
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FAQs on GCF of Fractions of 9646/226, 4537/7627
1. What is the HCF of 9646,4537?
The HCF of 9646,4537 is 13
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 9646/226, 4537/7627?
Answer: GCF of Numerators as per given numbers 9646/226, 4537/7627 is
GCF of Numerators i.e. for 9646,4537 is 13
LCM of denominators i.e. for 226,7627 is 1723702.
Thus, GCF of Fractions is 13/1723702.Finally, GCF of Fractions for 9646/226, 4537/7627 is 13/1723702.