GCF of 7928/742, 6708/6232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7928/742, 6708/6232 i.e 4/2312072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7928/742, 6708/6232.
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 7928/742,6708/6232?
Given fractions are 7928/742,6708/6232
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 7928/742,6708/6232, numerators are 7928,6708
Denominators are 742,6232
The GCF of 7928,6708 is 4 .
LCM of 742,6232 is 2312072.
The greatest common factor of 7928/742,6708/6232 = [GCF of 7928,6708]/[LCM of 742,6232]= 4/2312072
Therefore, the GCF of 7928/742,6708/6232 is 4/2312072.
To find the highest common factor of 7928,6708, we have to find the factors of both numbers and list the highest common factor.
The factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928
The factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
The HCF of 7928,6708 is 4.
Lets's calculate GCF of 7928,6708
| 2 | 7928, 6708 |
| 2 | 3964, 3354 |
| 1982, 1677 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7928,6708 By Matching Biggest Common Factor Method
Now, list down the factors of 7928
:1,2,4,8,991,1982,3964,7928
Now, list down the factors of 6708
:1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Greatest Common Factor
We found the factors 7928,6708 . The biggest common factor number is the GCF number.
So the greatest common factor 7928,6708 is 4.
Lets's calculate LCM of 742,6232
| 2 | 742, 6232 |
| 371, 3116 |
∴ So the LCM of the given numbers is 2 x 371 x 3116 = 2312072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2312072
Therefore, the GCF of Fractions 7928/742,6708/6232 is 4/2312072
Least Common Multiple of 742,6232 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 742,6232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,6232) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,6232) x common factors =2 x 1 = 2
LCM(742,6232) = ( 742 × 6232 ) / 2
LCM(742,6232) = 4624144 / 2
LCM(742,6232) = 2312072
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FAQs on GCF of Fractions of 7928/742, 6708/6232
1. What is the HCF of 7928,6708?
The HCF of 7928,6708 is 4
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 7928/742, 6708/6232?
Answer: GCF of Numerators as per given numbers 7928/742, 6708/6232 is
GCF of Numerators i.e. for 7928,6708 is 4
LCM of denominators i.e. for 742,6232 is 2312072.
Thus, GCF of Fractions is 4/2312072.Finally, GCF of Fractions for 7928/742, 6708/6232 is 4/2312072.