GCF of 4804/572, 7660/9815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4804/572, 7660/9815 i.e 4/431860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4804/572, 7660/9815.
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 4804/572,7660/9815?
Given fractions are 4804/572,7660/9815
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 4804/572,7660/9815, numerators are 4804,7660
Denominators are 572,9815
The GCF of 4804,7660 is 4 .
LCM of 572,9815 is 431860.
The greatest common factor of 4804/572,7660/9815 = [GCF of 4804,7660]/[LCM of 572,9815]= 4/431860
Therefore, the GCF of 4804/572,7660/9815 is 4/431860.
To find the highest common factor of 4804,7660, we have to find the factors of both numbers and list the highest common factor.
The factors of 4804 are 1, 2, 4, 1201, 2402, 4804
The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660
The HCF of 4804,7660 is 4.
Lets's calculate GCF of 4804,7660
| 2 | 4804, 7660 |
| 2 | 2402, 3830 |
| 1201, 1915 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4804,7660 By Matching Biggest Common Factor Method
Now, list down the factors of 4804
:1,2,4,1201,2402,4804
Now, list down the factors of 7660
:1,2,4,5,10,20,383,766,1532,1915,3830,7660
Greatest Common Factor
We found the factors 4804,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 4804,7660 is 4.
Lets's calculate LCM of 572,9815
| 13 | 572, 9815 |
| 44, 755 |
∴ So the LCM of the given numbers is 13 x 44 x 755 = 431860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/431860
Therefore, the GCF of Fractions 4804/572,7660/9815 is 4/431860
Least Common Multiple of 572,9815 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 572,9815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,9815) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(572,9815) x common factors =13 x 1 = 13
LCM(572,9815) = ( 572 × 9815 ) / 13
LCM(572,9815) = 5614180 / 13
LCM(572,9815) = 431860
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FAQs on GCF of Fractions of 4804/572, 7660/9815
1. What is the HCF of 4804,7660?
The HCF of 4804,7660 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 4804/572, 7660/9815?
Answer: GCF of Numerators as per given numbers 4804/572, 7660/9815 is
GCF of Numerators i.e. for 4804,7660 is 4
LCM of denominators i.e. for 572,9815 is 431860.
Thus, GCF of Fractions is 4/431860.Finally, GCF of Fractions for 4804/572, 7660/9815 is 4/431860.