GCF of 7428/890, 4314/8955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7428/890, 4314/8955 i.e 6/1593990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7428/890, 4314/8955.
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 7428/890,4314/8955?
Given fractions are 7428/890,4314/8955
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 7428/890,4314/8955, numerators are 7428,4314
Denominators are 890,8955
The GCF of 7428,4314 is 6 .
LCM of 890,8955 is 1593990.
The greatest common factor of 7428/890,4314/8955 = [GCF of 7428,4314]/[LCM of 890,8955]= 6/1593990
Therefore, the GCF of 7428/890,4314/8955 is 6/1593990.
To find the highest common factor of 7428,4314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428
The factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314
The HCF of 7428,4314 is 6.
Lets's calculate GCF of 7428,4314
| 2 | 7428, 4314 |
| 3 | 3714, 2157 |
| 1238, 719 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7428,4314 By Matching Biggest Common Factor Method
Now, list down the factors of 7428
:1,2,3,4,6,12,619,1238,1857,2476,3714,7428
Now, list down the factors of 4314
:1,2,3,6,719,1438,2157,4314
Greatest Common Factor
We found the factors 7428,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 7428,4314 is 6.
Lets's calculate LCM of 890,8955
| 5 | 890, 8955 |
| 178, 1791 |
∴ So the LCM of the given numbers is 5 x 178 x 1791 = 1593990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1593990
Therefore, the GCF of Fractions 7428/890,4314/8955 is 6/1593990
Least Common Multiple of 890,8955 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 890,8955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,8955) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(890,8955) x common factors =5 x 1 = 5
LCM(890,8955) = ( 890 × 8955 ) / 5
LCM(890,8955) = 7969950 / 5
LCM(890,8955) = 1593990
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FAQs on GCF of Fractions of 7428/890, 4314/8955
1. What is the HCF of 7428,4314?
The HCF of 7428,4314 is 6
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 7428/890, 4314/8955?
Answer: GCF of Numerators as per given numbers 7428/890, 4314/8955 is
GCF of Numerators i.e. for 7428,4314 is 6
LCM of denominators i.e. for 890,8955 is 1593990.
Thus, GCF of Fractions is 6/1593990.Finally, GCF of Fractions for 7428/890, 4314/8955 is 6/1593990.