GCF of 7120/743, 6312/9284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7120/743, 6312/9284 i.e 8/6898012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7120/743, 6312/9284.
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 7120/743,6312/9284?
Given fractions are 7120/743,6312/9284
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 7120/743,6312/9284, numerators are 7120,6312
Denominators are 743,9284
The GCF of 7120,6312 is 8 .
LCM of 743,9284 is 6898012.
The greatest common factor of 7120/743,6312/9284 = [GCF of 7120,6312]/[LCM of 743,9284]= 8/6898012
Therefore, the GCF of 7120/743,6312/9284 is 8/6898012.
To find the highest common factor of 7120,6312, we have to find the factors of both numbers and list the highest common factor.
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The factors of 6312 are 1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156, 6312
The HCF of 7120,6312 is 8.
Lets's calculate GCF of 7120,6312
| 2 | 7120, 6312 |
| 2 | 3560, 3156 |
| 2 | 1780, 1578 |
| 890, 789 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7120,6312 By Matching Biggest Common Factor Method
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Now, list down the factors of 6312
:1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312
Greatest Common Factor
We found the factors 7120,6312 . The biggest common factor number is the GCF number.
So the greatest common factor 7120,6312 is 8.
Lets's calculate LCM of 743,9284
Given numbers has no common factors except 1. So, there LCM is their product i.e 6898012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6898012
Therefore, the GCF of Fractions 7120/743,6312/9284 is 8/6898012
Least Common Multiple of 743,9284 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 743,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,9284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,9284) x common factors =1 x 1 = 1
LCM(743,9284) = ( 743 × 9284 ) / 1
LCM(743,9284) = 6898012 / 1
LCM(743,9284) = 6898012
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FAQs on GCF of Fractions of 7120/743, 6312/9284
1. What is the HCF of 7120,6312?
The HCF of 7120,6312 is 8
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 7120/743, 6312/9284?
Answer: GCF of Numerators as per given numbers 7120/743, 6312/9284 is
GCF of Numerators i.e. for 7120,6312 is 8
LCM of denominators i.e. for 743,9284 is 6898012.
Thus, GCF of Fractions is 8/6898012.Finally, GCF of Fractions for 7120/743, 6312/9284 is 8/6898012.