GCF of 7207/902, 9746/7601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7207/902, 9746/7601 i.e 1/623282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7207/902, 9746/7601.
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 7207/902,9746/7601?
Given fractions are 7207/902,9746/7601
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 7207/902,9746/7601, numerators are 7207,9746
Denominators are 902,7601
The GCF of 7207,9746 is 1 .
LCM of 902,7601 is 623282.
The greatest common factor of 7207/902,9746/7601 = [GCF of 7207,9746]/[LCM of 902,7601]= 1/623282
Therefore, the GCF of 7207/902,9746/7601 is 1/623282.
To find the highest common factor of 7207,9746, we have to find the factors of both numbers and list the highest common factor.
The factors of 7207 are 1, 7207
The factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746
The HCF of 7207,9746 is 1.
Lets's calculate GCF of 7207,9746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7207,9746 By Matching Biggest Common Factor Method
Now, list down the factors of 7207
:1,7207
Now, list down the factors of 9746
:1,2,11,22,443,886,4873,9746
Greatest Common Factor
We found the factors 7207,9746 . The biggest common factor number is the GCF number.
So the greatest common factor 7207,9746 is 1.
Lets's calculate LCM of 902,7601
| 11 | 902, 7601 |
| 82, 691 |
∴ So the LCM of the given numbers is 11 x 82 x 691 = 623282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623282
Therefore, the GCF of Fractions 7207/902,9746/7601 is 1/623282
Least Common Multiple of 902,7601 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 902,7601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,7601) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(902,7601) x common factors =11 x 1 = 11
LCM(902,7601) = ( 902 × 7601 ) / 11
LCM(902,7601) = 6856102 / 11
LCM(902,7601) = 623282
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FAQs on GCF of Fractions of 7207/902, 9746/7601
1. What is the HCF of 7207,9746?
The HCF of 7207,9746 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 7207/902, 9746/7601?
Answer: GCF of Numerators as per given numbers 7207/902, 9746/7601 is
GCF of Numerators i.e. for 7207,9746 is 1
LCM of denominators i.e. for 902,7601 is 623282.
Thus, GCF of Fractions is 1/623282.Finally, GCF of Fractions for 7207/902, 9746/7601 is 1/623282.