GCF of 2672/468, 7164/6374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2672/468, 7164/6374 i.e 4/1491516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2672/468, 7164/6374.
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 2672/468,7164/6374?
Given fractions are 2672/468,7164/6374
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 2672/468,7164/6374, numerators are 2672,7164
Denominators are 468,6374
The GCF of 2672,7164 is 4 .
LCM of 468,6374 is 1491516.
The greatest common factor of 2672/468,7164/6374 = [GCF of 2672,7164]/[LCM of 468,6374]= 4/1491516
Therefore, the GCF of 2672/468,7164/6374 is 4/1491516.
To find the highest common factor of 2672,7164, 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 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164
The HCF of 2672,7164 is 4.
Lets's calculate GCF of 2672,7164
| 2 | 2672, 7164 |
| 2 | 1336, 3582 |
| 668, 1791 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2672,7164 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 7164
:1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164
Greatest Common Factor
We found the factors 2672,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 2672,7164 is 4.
Lets's calculate LCM of 468,6374
| 2 | 468, 6374 |
| 234, 3187 |
∴ So the LCM of the given numbers is 2 x 234 x 3187 = 1491516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1491516
Therefore, the GCF of Fractions 2672/468,7164/6374 is 4/1491516
Least Common Multiple of 468,6374 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 468,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,6374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(468,6374) x common factors =2 x 1 = 2
LCM(468,6374) = ( 468 × 6374 ) / 2
LCM(468,6374) = 2983032 / 2
LCM(468,6374) = 1491516
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FAQs on GCF of Fractions of 2672/468, 7164/6374
1. What is the HCF of 2672,7164?
The HCF of 2672,7164 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 2672/468, 7164/6374?
Answer: GCF of Numerators as per given numbers 2672/468, 7164/6374 is
GCF of Numerators i.e. for 2672,7164 is 4
LCM of denominators i.e. for 468,6374 is 1491516.
Thus, GCF of Fractions is 4/1491516.Finally, GCF of Fractions for 2672/468, 7164/6374 is 4/1491516.