GCF of 7540/369, 7850/8889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7540/369, 7850/8889 i.e 10/1093347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7540/369, 7850/8889.
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 7540/369,7850/8889?
Given fractions are 7540/369,7850/8889
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 7540/369,7850/8889, numerators are 7540,7850
Denominators are 369,8889
The GCF of 7540,7850 is 10 .
LCM of 369,8889 is 1093347.
The greatest common factor of 7540/369,7850/8889 = [GCF of 7540,7850]/[LCM of 369,8889]= 10/1093347
Therefore, the GCF of 7540/369,7850/8889 is 10/1093347.
To find the highest common factor of 7540,7850, we have to find the factors of both numbers and list the highest common factor.
The factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540
The factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850
The HCF of 7540,7850 is 10.
Lets's calculate GCF of 7540,7850
| 2 | 7540, 7850 |
| 5 | 3770, 3925 |
| 754, 785 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7540,7850 By Matching Biggest Common Factor Method
Now, list down the factors of 7540
:1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540
Now, list down the factors of 7850
:1,2,5,10,25,50,157,314,785,1570,3925,7850
Greatest Common Factor
We found the factors 7540,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 7540,7850 is 10.
Lets's calculate LCM of 369,8889
| 3 | 369, 8889 |
| 123, 2963 |
∴ So the LCM of the given numbers is 3 x 123 x 2963 = 1093347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1093347
Therefore, the GCF of Fractions 7540/369,7850/8889 is 10/1093347
Least Common Multiple of 369,8889 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 369,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,8889) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,8889) x common factors =3 x 1 = 3
LCM(369,8889) = ( 369 × 8889 ) / 3
LCM(369,8889) = 3280041 / 3
LCM(369,8889) = 1093347
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FAQs on GCF of Fractions of 7540/369, 7850/8889
1. What is the HCF of 7540,7850?
The HCF of 7540,7850 is 10
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 7540/369, 7850/8889?
Answer: GCF of Numerators as per given numbers 7540/369, 7850/8889 is
GCF of Numerators i.e. for 7540,7850 is 10
LCM of denominators i.e. for 369,8889 is 1093347.
Thus, GCF of Fractions is 10/1093347.Finally, GCF of Fractions for 7540/369, 7850/8889 is 10/1093347.