GCF of 7630/608, 2876/6992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7630/608, 2876/6992 i.e 2/13984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7630/608, 2876/6992.
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 7630/608,2876/6992?
Given fractions are 7630/608,2876/6992
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 7630/608,2876/6992, numerators are 7630,2876
Denominators are 608,6992
The GCF of 7630,2876 is 2 .
LCM of 608,6992 is 13984.
The greatest common factor of 7630/608,2876/6992 = [GCF of 7630,2876]/[LCM of 608,6992]= 2/13984
Therefore, the GCF of 7630/608,2876/6992 is 2/13984.
To find the highest common factor of 7630,2876, we have to find the factors of both numbers and list the highest common factor.
The factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630
The factors of 2876 are 1, 2, 4, 719, 1438, 2876
The HCF of 7630,2876 is 2.
Lets's calculate GCF of 7630,2876
| 2 | 7630, 2876 |
| 3815, 1438 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7630,2876 By Matching Biggest Common Factor Method
Now, list down the factors of 7630
:1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630
Now, list down the factors of 2876
:1,2,4,719,1438,2876
Greatest Common Factor
We found the factors 7630,2876 . The biggest common factor number is the GCF number.
So the greatest common factor 7630,2876 is 2.
Lets's calculate LCM of 608,6992
| 2 | 608, 6992 |
| 2 | 304, 3496 |
| 2 | 152, 1748 |
| 2 | 76, 874 |
| 19 | 38, 437 |
| 2, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 2 x 23 = 13984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13984
Therefore, the GCF of Fractions 7630/608,2876/6992 is 2/13984
Least Common Multiple of 608,6992 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 608,6992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,6992) = 304
common factors(in case of two or more numbers have common factors) = 1
GCF(608,6992) x common factors =304 x 1 = 304
LCM(608,6992) = ( 608 × 6992 ) / 304
LCM(608,6992) = 4251136 / 304
LCM(608,6992) = 13984
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FAQs on GCF of Fractions of 7630/608, 2876/6992
1. What is the HCF of 7630,2876?
The HCF of 7630,2876 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 7630/608, 2876/6992?
Answer: GCF of Numerators as per given numbers 7630/608, 2876/6992 is
GCF of Numerators i.e. for 7630,2876 is 2
LCM of denominators i.e. for 608,6992 is 13984.
Thus, GCF of Fractions is 2/13984.Finally, GCF of Fractions for 7630/608, 2876/6992 is 2/13984.