GCF of 7992/615, 7614/731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7992/615, 7614/731 i.e 54/449565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7992/615, 7614/731.
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 7992/615,7614/731?
Given fractions are 7992/615,7614/731
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 7992/615,7614/731, numerators are 7992,7614
Denominators are 615,731
The GCF of 7992,7614 is 54 .
LCM of 615,731 is 449565.
The greatest common factor of 7992/615,7614/731 = [GCF of 7992,7614]/[LCM of 615,731]= 54/449565
Therefore, the GCF of 7992/615,7614/731 is 54/449565.
To find the highest common factor of 7992,7614, we have to find the factors of both numbers and list the highest common factor.
The factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992
The factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614
The HCF of 7992,7614 is 54.
Lets's calculate GCF of 7992,7614
| 2 | 7992, 7614 |
| 3 | 3996, 3807 |
| 3 | 1332, 1269 |
| 3 | 444, 423 |
| 148, 141 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 7992,7614 By Matching Biggest Common Factor Method
Now, list down the factors of 7992
:1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992
Now, list down the factors of 7614
:1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614
Greatest Common Factor
We found the factors 7992,7614 . The biggest common factor number is the GCF number.
So the greatest common factor 7992,7614 is 54.
Lets's calculate LCM of 615,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 449565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/449565
Therefore, the GCF of Fractions 7992/615,7614/731 is 54/449565
Least Common Multiple of 615,731 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 615,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,731) x common factors =1 x 1 = 1
LCM(615,731) = ( 615 × 731 ) / 1
LCM(615,731) = 449565 / 1
LCM(615,731) = 449565
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FAQs on GCF of Fractions of 7992/615, 7614/731
1. What is the HCF of 7992,7614?
The HCF of 7992,7614 is 54
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 7992/615, 7614/731?
Answer: GCF of Numerators as per given numbers 7992/615, 7614/731 is
GCF of Numerators i.e. for 7992,7614 is 54
LCM of denominators i.e. for 615,731 is 449565.
Thus, GCF of Fractions is 54/449565.Finally, GCF of Fractions for 7992/615, 7614/731 is 54/449565.