GCF of 7252/720, 4140/6730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7252/720, 4140/6730 i.e 4/484560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7252/720, 4140/6730.
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 7252/720,4140/6730?
Given fractions are 7252/720,4140/6730
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 7252/720,4140/6730, numerators are 7252,4140
Denominators are 720,6730
The GCF of 7252,4140 is 4 .
LCM of 720,6730 is 484560.
The greatest common factor of 7252/720,4140/6730 = [GCF of 7252,4140]/[LCM of 720,6730]= 4/484560
Therefore, the GCF of 7252/720,4140/6730 is 4/484560.
To find the highest common factor of 7252,4140, 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 4140 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140
The HCF of 7252,4140 is 4.
Lets's calculate GCF of 7252,4140
| 2 | 7252, 4140 |
| 2 | 3626, 2070 |
| 1813, 1035 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7252,4140 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 4140
:1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140
Greatest Common Factor
We found the factors 7252,4140 . The biggest common factor number is the GCF number.
So the greatest common factor 7252,4140 is 4.
Lets's calculate LCM of 720,6730
| 2 | 720, 6730 |
| 5 | 360, 3365 |
| 72, 673 |
∴ So the LCM of the given numbers is 2 x 5 x 72 x 673 = 484560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/484560
Therefore, the GCF of Fractions 7252/720,4140/6730 is 4/484560
Least Common Multiple of 720,6730 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 720,6730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,6730) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(720,6730) x common factors =10 x 1 = 10
LCM(720,6730) = ( 720 × 6730 ) / 10
LCM(720,6730) = 4845600 / 10
LCM(720,6730) = 484560
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FAQs on GCF of Fractions of 7252/720, 4140/6730
1. What is the HCF of 7252,4140?
The HCF of 7252,4140 is 4
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 7252/720, 4140/6730?
Answer: GCF of Numerators as per given numbers 7252/720, 4140/6730 is
GCF of Numerators i.e. for 7252,4140 is 4
LCM of denominators i.e. for 720,6730 is 484560.
Thus, GCF of Fractions is 4/484560.Finally, GCF of Fractions for 7252/720, 4140/6730 is 4/484560.