GCF of 3538/854, 4712/4893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3538/854, 4712/4893 i.e 2/596946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3538/854, 4712/4893.
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 3538/854,4712/4893?
Given fractions are 3538/854,4712/4893
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 3538/854,4712/4893, numerators are 3538,4712
Denominators are 854,4893
The GCF of 3538,4712 is 2 .
LCM of 854,4893 is 596946.
The greatest common factor of 3538/854,4712/4893 = [GCF of 3538,4712]/[LCM of 854,4893]= 2/596946
Therefore, the GCF of 3538/854,4712/4893 is 2/596946.
To find the highest common factor of 3538,4712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538
The factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712
The HCF of 3538,4712 is 2.
Lets's calculate GCF of 3538,4712
| 2 | 3538, 4712 |
| 1769, 2356 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3538,4712 By Matching Biggest Common Factor Method
Now, list down the factors of 3538
:1,2,29,58,61,122,1769,3538
Now, list down the factors of 4712
:1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Greatest Common Factor
We found the factors 3538,4712 . The biggest common factor number is the GCF number.
So the greatest common factor 3538,4712 is 2.
Lets's calculate LCM of 854,4893
| 7 | 854, 4893 |
| 122, 699 |
∴ So the LCM of the given numbers is 7 x 122 x 699 = 596946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/596946
Therefore, the GCF of Fractions 3538/854,4712/4893 is 2/596946
Least Common Multiple of 854,4893 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 854,4893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,4893) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(854,4893) x common factors =7 x 1 = 7
LCM(854,4893) = ( 854 × 4893 ) / 7
LCM(854,4893) = 4178622 / 7
LCM(854,4893) = 596946
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FAQs on GCF of Fractions of 3538/854, 4712/4893
1. What is the HCF of 3538,4712?
The HCF of 3538,4712 is 2
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 3538/854, 4712/4893?
Answer: GCF of Numerators as per given numbers 3538/854, 4712/4893 is
GCF of Numerators i.e. for 3538,4712 is 2
LCM of denominators i.e. for 854,4893 is 596946.
Thus, GCF of Fractions is 2/596946.Finally, GCF of Fractions for 3538/854, 4712/4893 is 2/596946.