GCF of 7634/348, 9928/7593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7634/348, 9928/7593 i.e 2/880788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7634/348, 9928/7593.
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 7634/348,9928/7593?
Given fractions are 7634/348,9928/7593
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 7634/348,9928/7593, numerators are 7634,9928
Denominators are 348,7593
The GCF of 7634,9928 is 2 .
LCM of 348,7593 is 880788.
The greatest common factor of 7634/348,9928/7593 = [GCF of 7634,9928]/[LCM of 348,7593]= 2/880788
Therefore, the GCF of 7634/348,9928/7593 is 2/880788.
To find the highest common factor of 7634,9928, we have to find the factors of both numbers and list the highest common factor.
The factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634
The factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928
The HCF of 7634,9928 is 2.
Lets's calculate GCF of 7634,9928
| 2 | 7634, 9928 |
| 3817, 4964 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7634,9928 By Matching Biggest Common Factor Method
Now, list down the factors of 7634
:1,2,11,22,347,694,3817,7634
Now, list down the factors of 9928
:1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928
Greatest Common Factor
We found the factors 7634,9928 . The biggest common factor number is the GCF number.
So the greatest common factor 7634,9928 is 2.
Lets's calculate LCM of 348,7593
| 3 | 348, 7593 |
| 116, 2531 |
∴ So the LCM of the given numbers is 3 x 116 x 2531 = 880788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/880788
Therefore, the GCF of Fractions 7634/348,9928/7593 is 2/880788
Least Common Multiple of 348,7593 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 348,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,7593) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(348,7593) x common factors =3 x 1 = 3
LCM(348,7593) = ( 348 × 7593 ) / 3
LCM(348,7593) = 2642364 / 3
LCM(348,7593) = 880788
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FAQs on GCF of Fractions of 7634/348, 9928/7593
1. What is the HCF of 7634,9928?
The HCF of 7634,9928 is 2
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 7634/348, 9928/7593?
Answer: GCF of Numerators as per given numbers 7634/348, 9928/7593 is
GCF of Numerators i.e. for 7634,9928 is 2
LCM of denominators i.e. for 348,7593 is 880788.
Thus, GCF of Fractions is 2/880788.Finally, GCF of Fractions for 7634/348, 9928/7593 is 2/880788.