GCF of 1368/688, 3852/8431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1368/688, 3852/8431 i.e 36/5800528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1368/688, 3852/8431.
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 1368/688,3852/8431?
Given fractions are 1368/688,3852/8431
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 1368/688,3852/8431, numerators are 1368,3852
Denominators are 688,8431
The GCF of 1368,3852 is 36 .
LCM of 688,8431 is 5800528.
The greatest common factor of 1368/688,3852/8431 = [GCF of 1368,3852]/[LCM of 688,8431]= 36/5800528
Therefore, the GCF of 1368/688,3852/8431 is 36/5800528.
To find the highest common factor of 1368,3852, we have to find the factors of both numbers and list the highest common factor.
The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The HCF of 1368,3852 is 36.
Lets's calculate GCF of 1368,3852
| 2 | 1368, 3852 |
| 2 | 684, 1926 |
| 3 | 342, 963 |
| 3 | 114, 321 |
| 38, 107 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 1368,3852 By Matching Biggest Common Factor Method
Now, list down the factors of 1368
:1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 1368,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,3852 is 36.
Lets's calculate LCM of 688,8431
Given numbers has no common factors except 1. So, there LCM is their product i.e 5800528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/5800528
Therefore, the GCF of Fractions 1368/688,3852/8431 is 36/5800528
Least Common Multiple of 688,8431 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 688,8431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,8431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,8431) x common factors =1 x 1 = 1
LCM(688,8431) = ( 688 × 8431 ) / 1
LCM(688,8431) = 5800528 / 1
LCM(688,8431) = 5800528
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FAQs on GCF of Fractions of 1368/688, 3852/8431
1. What is the HCF of 1368,3852?
The HCF of 1368,3852 is 36
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 1368/688, 3852/8431?
Answer: GCF of Numerators as per given numbers 1368/688, 3852/8431 is
GCF of Numerators i.e. for 1368,3852 is 36
LCM of denominators i.e. for 688,8431 is 5800528.
Thus, GCF of Fractions is 36/5800528.Finally, GCF of Fractions for 1368/688, 3852/8431 is 36/5800528.