GCF of 7252/651, 8073/8439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7252/651, 8073/8439 i.e 1/1831263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7252/651, 8073/8439.
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 7252/651,8073/8439?
Given fractions are 7252/651,8073/8439
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 7252/651,8073/8439, numerators are 7252,8073
Denominators are 651,8439
The GCF of 7252,8073 is 1 .
LCM of 651,8439 is 1831263.
The greatest common factor of 7252/651,8073/8439 = [GCF of 7252,8073]/[LCM of 651,8439]= 1/1831263
Therefore, the GCF of 7252/651,8073/8439 is 1/1831263.
To find the highest common factor of 7252,8073, we have to find the factors of both numbers and list the highest common factor.
The factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252
The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The HCF of 7252,8073 is 1.
Lets's calculate GCF of 7252,8073
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7252,8073 By Matching Biggest Common Factor Method
Now, list down the factors of 7252
:1,2,4,7,14,28,37,49,74,98,148,196,259,518,1036,1813,3626,7252
Now, list down the factors of 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Greatest Common Factor
We found the factors 7252,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 7252,8073 is 1.
Lets's calculate LCM of 651,8439
| 3 | 651, 8439 |
| 217, 2813 |
∴ So the LCM of the given numbers is 3 x 217 x 2813 = 1831263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1831263
Therefore, the GCF of Fractions 7252/651,8073/8439 is 1/1831263
Least Common Multiple of 651,8439 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 651,8439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,8439) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,8439) x common factors =3 x 1 = 3
LCM(651,8439) = ( 651 × 8439 ) / 3
LCM(651,8439) = 5493789 / 3
LCM(651,8439) = 1831263
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FAQs on GCF of Fractions of 7252/651, 8073/8439
1. What is the HCF of 7252,8073?
The HCF of 7252,8073 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 7252/651, 8073/8439?
Answer: GCF of Numerators as per given numbers 7252/651, 8073/8439 is
GCF of Numerators i.e. for 7252,8073 is 1
LCM of denominators i.e. for 651,8439 is 1831263.
Thus, GCF of Fractions is 1/1831263.Finally, GCF of Fractions for 7252/651, 8073/8439 is 1/1831263.