GCF of 2672/828, 7504/185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2672/828, 7504/185 i.e 16/153180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2672/828, 7504/185.
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 2672/828,7504/185?
Given fractions are 2672/828,7504/185
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 2672/828,7504/185, numerators are 2672,7504
Denominators are 828,185
The GCF of 2672,7504 is 16 .
LCM of 828,185 is 153180.
The greatest common factor of 2672/828,7504/185 = [GCF of 2672,7504]/[LCM of 828,185]= 16/153180
Therefore, the GCF of 2672/828,7504/185 is 16/153180.
To find the highest common factor of 2672,7504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2672 are 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The HCF of 2672,7504 is 16.
Lets's calculate GCF of 2672,7504
| 2 | 2672, 7504 |
| 2 | 1336, 3752 |
| 2 | 668, 1876 |
| 2 | 334, 938 |
| 167, 469 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2672,7504 By Matching Biggest Common Factor Method
Now, list down the factors of 2672
:1,2,4,8,16,167,334,668,1336,2672
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 2672,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 2672,7504 is 16.
Lets's calculate LCM of 828,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 153180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/153180
Therefore, the GCF of Fractions 2672/828,7504/185 is 16/153180
Least Common Multiple of 828,185 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 828,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,185) x common factors =1 x 1 = 1
LCM(828,185) = ( 828 × 185 ) / 1
LCM(828,185) = 153180 / 1
LCM(828,185) = 153180
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FAQs on GCF of Fractions of 2672/828, 7504/185
1. What is the HCF of 2672,7504?
The HCF of 2672,7504 is 16
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 2672/828, 7504/185?
Answer: GCF of Numerators as per given numbers 2672/828, 7504/185 is
GCF of Numerators i.e. for 2672,7504 is 16
LCM of denominators i.e. for 828,185 is 153180.
Thus, GCF of Fractions is 16/153180.Finally, GCF of Fractions for 2672/828, 7504/185 is 16/153180.