GCF of 7604/681, 8619/5172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7604/681, 8619/5172 i.e 1/1174044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7604/681, 8619/5172.
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 7604/681,8619/5172?
Given fractions are 7604/681,8619/5172
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 7604/681,8619/5172, numerators are 7604,8619
Denominators are 681,5172
The GCF of 7604,8619 is 1 .
LCM of 681,5172 is 1174044.
The greatest common factor of 7604/681,8619/5172 = [GCF of 7604,8619]/[LCM of 681,5172]= 1/1174044
Therefore, the GCF of 7604/681,8619/5172 is 1/1174044.
To find the highest common factor of 7604,8619, we have to find the factors of both numbers and list the highest common factor.
The factors of 7604 are 1, 2, 4, 1901, 3802, 7604
The factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619
The HCF of 7604,8619 is 1.
Lets's calculate GCF of 7604,8619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7604,8619 By Matching Biggest Common Factor Method
Now, list down the factors of 7604
:1,2,4,1901,3802,7604
Now, list down the factors of 8619
:1,3,13,17,39,51,169,221,507,663,2873,8619
Greatest Common Factor
We found the factors 7604,8619 . The biggest common factor number is the GCF number.
So the greatest common factor 7604,8619 is 1.
Lets's calculate LCM of 681,5172
| 3 | 681, 5172 |
| 227, 1724 |
∴ So the LCM of the given numbers is 3 x 227 x 1724 = 1174044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1174044
Therefore, the GCF of Fractions 7604/681,8619/5172 is 1/1174044
Least Common Multiple of 681,5172 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 681,5172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,5172) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,5172) x common factors =3 x 1 = 3
LCM(681,5172) = ( 681 × 5172 ) / 3
LCM(681,5172) = 3522132 / 3
LCM(681,5172) = 1174044
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FAQs on GCF of Fractions of 7604/681, 8619/5172
1. What is the HCF of 7604,8619?
The HCF of 7604,8619 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 7604/681, 8619/5172?
Answer: GCF of Numerators as per given numbers 7604/681, 8619/5172 is
GCF of Numerators i.e. for 7604,8619 is 1
LCM of denominators i.e. for 681,5172 is 1174044.
Thus, GCF of Fractions is 1/1174044.Finally, GCF of Fractions for 7604/681, 8619/5172 is 1/1174044.