GCF of 1995/387, 7540/8757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1995/387, 7540/8757 i.e 5/376551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1995/387, 7540/8757.
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 1995/387,7540/8757?
Given fractions are 1995/387,7540/8757
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 1995/387,7540/8757, numerators are 1995,7540
Denominators are 387,8757
The GCF of 1995,7540 is 5 .
LCM of 387,8757 is 376551.
The greatest common factor of 1995/387,7540/8757 = [GCF of 1995,7540]/[LCM of 387,8757]= 5/376551
Therefore, the GCF of 1995/387,7540/8757 is 5/376551.
To find the highest common factor of 1995,7540, we have to find the factors of both numbers and list the highest common factor.
The factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
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 HCF of 1995,7540 is 5.
Lets's calculate GCF of 1995,7540
| 5 | 1995, 7540 |
| 399, 1508 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1995,7540 By Matching Biggest Common Factor Method
Now, list down the factors of 1995
:1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995
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
Greatest Common Factor
We found the factors 1995,7540 . The biggest common factor number is the GCF number.
So the greatest common factor 1995,7540 is 5.
Lets's calculate LCM of 387,8757
| 3 | 387, 8757 |
| 3 | 129, 2919 |
| 43, 973 |
∴ So the LCM of the given numbers is 3 x 3 x 43 x 973 = 376551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/376551
Therefore, the GCF of Fractions 1995/387,7540/8757 is 5/376551
Least Common Multiple of 387,8757 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 387,8757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,8757) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(387,8757) x common factors =9 x 1 = 9
LCM(387,8757) = ( 387 × 8757 ) / 9
LCM(387,8757) = 3388959 / 9
LCM(387,8757) = 376551
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FAQs on GCF of Fractions of 1995/387, 7540/8757
1. What is the HCF of 1995,7540?
The HCF of 1995,7540 is 5
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 1995/387, 7540/8757?
Answer: GCF of Numerators as per given numbers 1995/387, 7540/8757 is
GCF of Numerators i.e. for 1995,7540 is 5
LCM of denominators i.e. for 387,8757 is 376551.
Thus, GCF of Fractions is 5/376551.Finally, GCF of Fractions for 1995/387, 7540/8757 is 5/376551.