GCF of 7740/104, 7252/429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7740/104, 7252/429 i.e 4/3432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7740/104, 7252/429.
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 7740/104,7252/429?
Given fractions are 7740/104,7252/429
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 7740/104,7252/429, numerators are 7740,7252
Denominators are 104,429
The GCF of 7740,7252 is 4 .
LCM of 104,429 is 3432.
The greatest common factor of 7740/104,7252/429 = [GCF of 7740,7252]/[LCM of 104,429]= 4/3432
Therefore, the GCF of 7740/104,7252/429 is 4/3432.
To find the highest common factor of 7740,7252, we have to find the factors of both numbers and list the highest common factor.
The factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740
The factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252
The HCF of 7740,7252 is 4.
Lets's calculate GCF of 7740,7252
| 2 | 7740, 7252 |
| 2 | 3870, 3626 |
| 1935, 1813 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7740,7252 By Matching Biggest Common Factor Method
Now, list down the factors of 7740
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740
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
Greatest Common Factor
We found the factors 7740,7252 . The biggest common factor number is the GCF number.
So the greatest common factor 7740,7252 is 4.
Lets's calculate LCM of 104,429
| 13 | 104, 429 |
| 8, 33 |
∴ So the LCM of the given numbers is 13 x 8 x 33 = 3432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3432
Therefore, the GCF of Fractions 7740/104,7252/429 is 4/3432
Least Common Multiple of 104,429 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 104,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,429) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(104,429) x common factors =13 x 1 = 13
LCM(104,429) = ( 104 × 429 ) / 13
LCM(104,429) = 44616 / 13
LCM(104,429) = 3432
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FAQs on GCF of Fractions of 7740/104, 7252/429
1. What is the HCF of 7740,7252?
The HCF of 7740,7252 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 7740/104, 7252/429?
Answer: GCF of Numerators as per given numbers 7740/104, 7252/429 is
GCF of Numerators i.e. for 7740,7252 is 4
LCM of denominators i.e. for 104,429 is 3432.
Thus, GCF of Fractions is 4/3432.Finally, GCF of Fractions for 7740/104, 7252/429 is 4/3432.