GCF of 6768/239, 5172/535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6768/239, 5172/535 i.e 12/127865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6768/239, 5172/535.
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 6768/239,5172/535?
Given fractions are 6768/239,5172/535
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 6768/239,5172/535, numerators are 6768,5172
Denominators are 239,535
The GCF of 6768,5172 is 12 .
LCM of 239,535 is 127865.
The greatest common factor of 6768/239,5172/535 = [GCF of 6768,5172]/[LCM of 239,535]= 12/127865
Therefore, the GCF of 6768/239,5172/535 is 12/127865.
To find the highest common factor of 6768,5172, we have to find the factors of both numbers and list the highest common factor.
The factors of 6768 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768
The factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172
The HCF of 6768,5172 is 12.
Lets's calculate GCF of 6768,5172
| 2 | 6768, 5172 |
| 2 | 3384, 2586 |
| 3 | 1692, 1293 |
| 564, 431 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6768,5172 By Matching Biggest Common Factor Method
Now, list down the factors of 6768
:1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768
Now, list down the factors of 5172
:1,2,3,4,6,12,431,862,1293,1724,2586,5172
Greatest Common Factor
We found the factors 6768,5172 . The biggest common factor number is the GCF number.
So the greatest common factor 6768,5172 is 12.
Lets's calculate LCM of 239,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 127865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/127865
Therefore, the GCF of Fractions 6768/239,5172/535 is 12/127865
Least Common Multiple of 239,535 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 239,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,535) x common factors =1 x 1 = 1
LCM(239,535) = ( 239 × 535 ) / 1
LCM(239,535) = 127865 / 1
LCM(239,535) = 127865
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FAQs on GCF of Fractions of 6768/239, 5172/535
1. What is the HCF of 6768,5172?
The HCF of 6768,5172 is 12
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 6768/239, 5172/535?
Answer: GCF of Numerators as per given numbers 6768/239, 5172/535 is
GCF of Numerators i.e. for 6768,5172 is 12
LCM of denominators i.e. for 239,535 is 127865.
Thus, GCF of Fractions is 12/127865.Finally, GCF of Fractions for 6768/239, 5172/535 is 12/127865.