GCF of 6724/194, 6624/7408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6724/194, 6624/7408 i.e 4/718576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6724/194, 6624/7408.
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 6724/194,6624/7408?
Given fractions are 6724/194,6624/7408
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 6724/194,6624/7408, numerators are 6724,6624
Denominators are 194,7408
The GCF of 6724,6624 is 4 .
LCM of 194,7408 is 718576.
The greatest common factor of 6724/194,6624/7408 = [GCF of 6724,6624]/[LCM of 194,7408]= 4/718576
Therefore, the GCF of 6724/194,6624/7408 is 4/718576.
To find the highest common factor of 6724,6624, we have to find the factors of both numbers and list the highest common factor.
The factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724
The factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624
The HCF of 6724,6624 is 4.
Lets's calculate GCF of 6724,6624
| 2 | 6724, 6624 |
| 2 | 3362, 3312 |
| 1681, 1656 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6724,6624 By Matching Biggest Common Factor Method
Now, list down the factors of 6724
:1,2,4,41,82,164,1681,3362,6724
Now, list down the factors of 6624
:1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624
Greatest Common Factor
We found the factors 6724,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 6724,6624 is 4.
Lets's calculate LCM of 194,7408
| 2 | 194, 7408 |
| 97, 3704 |
∴ So the LCM of the given numbers is 2 x 97 x 3704 = 718576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/718576
Therefore, the GCF of Fractions 6724/194,6624/7408 is 4/718576
Least Common Multiple of 194,7408 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 194,7408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,7408) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,7408) x common factors =2 x 1 = 2
LCM(194,7408) = ( 194 × 7408 ) / 2
LCM(194,7408) = 1437152 / 2
LCM(194,7408) = 718576
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FAQs on GCF of Fractions of 6724/194, 6624/7408
1. What is the HCF of 6724,6624?
The HCF of 6724,6624 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 6724/194, 6624/7408?
Answer: GCF of Numerators as per given numbers 6724/194, 6624/7408 is
GCF of Numerators i.e. for 6724,6624 is 4
LCM of denominators i.e. for 194,7408 is 718576.
Thus, GCF of Fractions is 4/718576.Finally, GCF of Fractions for 6724/194, 6624/7408 is 4/718576.