GCF of 7992/525, 1674/5644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7992/525, 1674/5644 i.e 54/2963100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7992/525, 1674/5644.
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 7992/525,1674/5644?
Given fractions are 7992/525,1674/5644
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 7992/525,1674/5644, numerators are 7992,1674
Denominators are 525,5644
The GCF of 7992,1674 is 54 .
LCM of 525,5644 is 2963100.
The greatest common factor of 7992/525,1674/5644 = [GCF of 7992,1674]/[LCM of 525,5644]= 54/2963100
Therefore, the GCF of 7992/525,1674/5644 is 54/2963100.
To find the highest common factor of 7992,1674, 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 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
The HCF of 7992,1674 is 54.
Lets's calculate GCF of 7992,1674
| 2 | 7992, 1674 |
| 3 | 3996, 837 |
| 3 | 1332, 279 |
| 3 | 444, 93 |
| 148, 31 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 7992,1674 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 1674
:1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Greatest Common Factor
We found the factors 7992,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 7992,1674 is 54.
Lets's calculate LCM of 525,5644
Given numbers has no common factors except 1. So, there LCM is their product i.e 2963100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/2963100
Therefore, the GCF of Fractions 7992/525,1674/5644 is 54/2963100
Least Common Multiple of 525,5644 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 525,5644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,5644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,5644) x common factors =1 x 1 = 1
LCM(525,5644) = ( 525 × 5644 ) / 1
LCM(525,5644) = 2963100 / 1
LCM(525,5644) = 2963100
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7992/525, 1674/5644
1. What is the HCF of 7992,1674?
The HCF of 7992,1674 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 7992/525, 1674/5644?
Answer: GCF of Numerators as per given numbers 7992/525, 1674/5644 is
GCF of Numerators i.e. for 7992,1674 is 54
LCM of denominators i.e. for 525,5644 is 2963100.
Thus, GCF of Fractions is 54/2963100.Finally, GCF of Fractions for 7992/525, 1674/5644 is 54/2963100.