GCF of 7487/195, 9646/7825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7487/195, 9646/7825 i.e 1/305175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7487/195, 9646/7825.
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 7487/195,9646/7825?
Given fractions are 7487/195,9646/7825
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 7487/195,9646/7825, numerators are 7487,9646
Denominators are 195,7825
The GCF of 7487,9646 is 1 .
LCM of 195,7825 is 305175.
The greatest common factor of 7487/195,9646/7825 = [GCF of 7487,9646]/[LCM of 195,7825]= 1/305175
Therefore, the GCF of 7487/195,9646/7825 is 1/305175.
To find the highest common factor of 7487,9646, we have to find the factors of both numbers and list the highest common factor.
The factors of 7487 are 1, 7487
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The HCF of 7487,9646 is 1.
Lets's calculate GCF of 7487,9646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7487,9646 By Matching Biggest Common Factor Method
Now, list down the factors of 7487
:1,7487
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Greatest Common Factor
We found the factors 7487,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 7487,9646 is 1.
Lets's calculate LCM of 195,7825
| 5 | 195, 7825 |
| 39, 1565 |
∴ So the LCM of the given numbers is 5 x 39 x 1565 = 305175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305175
Therefore, the GCF of Fractions 7487/195,9646/7825 is 1/305175
Least Common Multiple of 195,7825 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 195,7825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,7825) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(195,7825) x common factors =5 x 1 = 5
LCM(195,7825) = ( 195 × 7825 ) / 5
LCM(195,7825) = 1525875 / 5
LCM(195,7825) = 305175
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FAQs on GCF of Fractions of 7487/195, 9646/7825
1. What is the HCF of 7487,9646?
The HCF of 7487,9646 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 7487/195, 9646/7825?
Answer: GCF of Numerators as per given numbers 7487/195, 9646/7825 is
GCF of Numerators i.e. for 7487,9646 is 1
LCM of denominators i.e. for 195,7825 is 305175.
Thus, GCF of Fractions is 1/305175.Finally, GCF of Fractions for 7487/195, 9646/7825 is 1/305175.