GCF of 9238/834, 7645/2704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9238/834, 7645/2704 i.e 1/1127568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9238/834, 7645/2704.
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 9238/834,7645/2704?
Given fractions are 9238/834,7645/2704
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 9238/834,7645/2704, numerators are 9238,7645
Denominators are 834,2704
The GCF of 9238,7645 is 1 .
LCM of 834,2704 is 1127568.
The greatest common factor of 9238/834,7645/2704 = [GCF of 9238,7645]/[LCM of 834,2704]= 1/1127568
Therefore, the GCF of 9238/834,7645/2704 is 1/1127568.
To find the highest common factor of 9238,7645, we have to find the factors of both numbers and list the highest common factor.
The factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238
The factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645
The HCF of 9238,7645 is 1.
Lets's calculate GCF of 9238,7645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9238,7645 By Matching Biggest Common Factor Method
Now, list down the factors of 9238
:1,2,31,62,149,298,4619,9238
Now, list down the factors of 7645
:1,5,11,55,139,695,1529,7645
Greatest Common Factor
We found the factors 9238,7645 . The biggest common factor number is the GCF number.
So the greatest common factor 9238,7645 is 1.
Lets's calculate LCM of 834,2704
| 2 | 834, 2704 |
| 417, 1352 |
∴ So the LCM of the given numbers is 2 x 417 x 1352 = 1127568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127568
Therefore, the GCF of Fractions 9238/834,7645/2704 is 1/1127568
Least Common Multiple of 834,2704 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 834,2704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,2704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,2704) x common factors =2 x 1 = 2
LCM(834,2704) = ( 834 × 2704 ) / 2
LCM(834,2704) = 2255136 / 2
LCM(834,2704) = 1127568
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FAQs on GCF of Fractions of 9238/834, 7645/2704
1. What is the HCF of 9238,7645?
The HCF of 9238,7645 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 9238/834, 7645/2704?
Answer: GCF of Numerators as per given numbers 9238/834, 7645/2704 is
GCF of Numerators i.e. for 9238,7645 is 1
LCM of denominators i.e. for 834,2704 is 1127568.
Thus, GCF of Fractions is 1/1127568.Finally, GCF of Fractions for 9238/834, 7645/2704 is 1/1127568.