GCF of 2990/858, 7028/8852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2990/858, 7028/8852 i.e 2/3797508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2990/858, 7028/8852.
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 2990/858,7028/8852?
Given fractions are 2990/858,7028/8852
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 2990/858,7028/8852, numerators are 2990,7028
Denominators are 858,8852
The GCF of 2990,7028 is 2 .
LCM of 858,8852 is 3797508.
The greatest common factor of 2990/858,7028/8852 = [GCF of 2990,7028]/[LCM of 858,8852]= 2/3797508
Therefore, the GCF of 2990/858,7028/8852 is 2/3797508.
To find the highest common factor of 2990,7028, we have to find the factors of both numbers and list the highest common factor.
The factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990
The factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028
The HCF of 2990,7028 is 2.
Lets's calculate GCF of 2990,7028
| 2 | 2990, 7028 |
| 1495, 3514 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2990,7028 By Matching Biggest Common Factor Method
Now, list down the factors of 2990
:1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990
Now, list down the factors of 7028
:1,2,4,7,14,28,251,502,1004,1757,3514,7028
Greatest Common Factor
We found the factors 2990,7028 . The biggest common factor number is the GCF number.
So the greatest common factor 2990,7028 is 2.
Lets's calculate LCM of 858,8852
| 2 | 858, 8852 |
| 429, 4426 |
∴ So the LCM of the given numbers is 2 x 429 x 4426 = 3797508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3797508
Therefore, the GCF of Fractions 2990/858,7028/8852 is 2/3797508
Least Common Multiple of 858,8852 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 858,8852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,8852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(858,8852) x common factors =2 x 1 = 2
LCM(858,8852) = ( 858 × 8852 ) / 2
LCM(858,8852) = 7595016 / 2
LCM(858,8852) = 3797508
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FAQs on GCF of Fractions of 2990/858, 7028/8852
1. What is the HCF of 2990,7028?
The HCF of 2990,7028 is 2
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 2990/858, 7028/8852?
Answer: GCF of Numerators as per given numbers 2990/858, 7028/8852 is
GCF of Numerators i.e. for 2990,7028 is 2
LCM of denominators i.e. for 858,8852 is 3797508.
Thus, GCF of Fractions is 2/3797508.Finally, GCF of Fractions for 2990/858, 7028/8852 is 2/3797508.