GCF of 7344/780, 7690/9572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7344/780, 7690/9572 i.e 2/1866540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7344/780, 7690/9572.
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 7344/780,7690/9572?
Given fractions are 7344/780,7690/9572
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 7344/780,7690/9572, numerators are 7344,7690
Denominators are 780,9572
The GCF of 7344,7690 is 2 .
LCM of 780,9572 is 1866540.
The greatest common factor of 7344/780,7690/9572 = [GCF of 7344,7690]/[LCM of 780,9572]= 2/1866540
Therefore, the GCF of 7344/780,7690/9572 is 2/1866540.
To find the highest common factor of 7344,7690, we have to find the factors of both numbers and list the highest common factor.
The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The HCF of 7344,7690 is 2.
Lets's calculate GCF of 7344,7690
| 2 | 7344, 7690 |
| 3672, 3845 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7344,7690 By Matching Biggest Common Factor Method
Now, list down the factors of 7344
:1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Greatest Common Factor
We found the factors 7344,7690 . The biggest common factor number is the GCF number.
So the greatest common factor 7344,7690 is 2.
Lets's calculate LCM of 780,9572
| 2 | 780, 9572 |
| 2 | 390, 4786 |
| 195, 2393 |
∴ So the LCM of the given numbers is 2 x 2 x 195 x 2393 = 1866540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1866540
Therefore, the GCF of Fractions 7344/780,7690/9572 is 2/1866540
Least Common Multiple of 780,9572 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 780,9572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,9572) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(780,9572) x common factors =4 x 1 = 4
LCM(780,9572) = ( 780 × 9572 ) / 4
LCM(780,9572) = 7466160 / 4
LCM(780,9572) = 1866540
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FAQs on GCF of Fractions of 7344/780, 7690/9572
1. What is the HCF of 7344,7690?
The HCF of 7344,7690 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 7344/780, 7690/9572?
Answer: GCF of Numerators as per given numbers 7344/780, 7690/9572 is
GCF of Numerators i.e. for 7344,7690 is 2
LCM of denominators i.e. for 780,9572 is 1866540.
Thus, GCF of Fractions is 2/1866540.Finally, GCF of Fractions for 7344/780, 7690/9572 is 2/1866540.