GCF of 6118/298, 4837/5854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6118/298, 4837/5854 i.e 7/872246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6118/298, 4837/5854.
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 6118/298,4837/5854?
Given fractions are 6118/298,4837/5854
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 6118/298,4837/5854, numerators are 6118,4837
Denominators are 298,5854
The GCF of 6118,4837 is 7 .
LCM of 298,5854 is 872246.
The greatest common factor of 6118/298,4837/5854 = [GCF of 6118,4837]/[LCM of 298,5854]= 7/872246
Therefore, the GCF of 6118/298,4837/5854 is 7/872246.
To find the highest common factor of 6118,4837, we have to find the factors of both numbers and list the highest common factor.
The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
The factors of 4837 are 1, 7, 691, 4837
The HCF of 6118,4837 is 7.
Lets's calculate GCF of 6118,4837
| 7 | 6118, 4837 |
| 874, 691 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6118,4837 By Matching Biggest Common Factor Method
Now, list down the factors of 6118
:1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118
Now, list down the factors of 4837
:1,7,691,4837
Greatest Common Factor
We found the factors 6118,4837 . The biggest common factor number is the GCF number.
So the greatest common factor 6118,4837 is 7.
Lets's calculate LCM of 298,5854
| 2 | 298, 5854 |
| 149, 2927 |
∴ So the LCM of the given numbers is 2 x 149 x 2927 = 872246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/872246
Therefore, the GCF of Fractions 6118/298,4837/5854 is 7/872246
Least Common Multiple of 298,5854 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 298,5854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,5854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,5854) x common factors =2 x 1 = 2
LCM(298,5854) = ( 298 × 5854 ) / 2
LCM(298,5854) = 1744492 / 2
LCM(298,5854) = 872246
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FAQs on GCF of Fractions of 6118/298, 4837/5854
1. What is the HCF of 6118,4837?
The HCF of 6118,4837 is 7
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 6118/298, 4837/5854?
Answer: GCF of Numerators as per given numbers 6118/298, 4837/5854 is
GCF of Numerators i.e. for 6118,4837 is 7
LCM of denominators i.e. for 298,5854 is 872246.
Thus, GCF of Fractions is 7/872246.Finally, GCF of Fractions for 6118/298, 4837/5854 is 7/872246.