GCF of 4868/377, 4606/5974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4868/377, 4606/5974 i.e 2/77662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4868/377, 4606/5974.
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 4868/377,4606/5974?
Given fractions are 4868/377,4606/5974
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 4868/377,4606/5974, numerators are 4868,4606
Denominators are 377,5974
The GCF of 4868,4606 is 2 .
LCM of 377,5974 is 77662.
The greatest common factor of 4868/377,4606/5974 = [GCF of 4868,4606]/[LCM of 377,5974]= 2/77662
Therefore, the GCF of 4868/377,4606/5974 is 2/77662.
To find the highest common factor of 4868,4606, we have to find the factors of both numbers and list the highest common factor.
The factors of 4868 are 1, 2, 4, 1217, 2434, 4868
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The HCF of 4868,4606 is 2.
Lets's calculate GCF of 4868,4606
| 2 | 4868, 4606 |
| 2434, 2303 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4868,4606 By Matching Biggest Common Factor Method
Now, list down the factors of 4868
:1,2,4,1217,2434,4868
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Greatest Common Factor
We found the factors 4868,4606 . The biggest common factor number is the GCF number.
So the greatest common factor 4868,4606 is 2.
Lets's calculate LCM of 377,5974
| 29 | 377, 5974 |
| 13, 206 |
∴ So the LCM of the given numbers is 29 x 13 x 206 = 77662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77662
Therefore, the GCF of Fractions 4868/377,4606/5974 is 2/77662
Least Common Multiple of 377,5974 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 377,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,5974) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(377,5974) x common factors =29 x 1 = 29
LCM(377,5974) = ( 377 × 5974 ) / 29
LCM(377,5974) = 2252198 / 29
LCM(377,5974) = 77662
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FAQs on GCF of Fractions of 4868/377, 4606/5974
1. What is the HCF of 4868,4606?
The HCF of 4868,4606 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 4868/377, 4606/5974?
Answer: GCF of Numerators as per given numbers 4868/377, 4606/5974 is
GCF of Numerators i.e. for 4868,4606 is 2
LCM of denominators i.e. for 377,5974 is 77662.
Thus, GCF of Fractions is 2/77662.Finally, GCF of Fractions for 4868/377, 4606/5974 is 2/77662.