GCF of 4984/146, 6412/5955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4984/146, 6412/5955 i.e 28/869430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4984/146, 6412/5955.
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 4984/146,6412/5955?
Given fractions are 4984/146,6412/5955
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 4984/146,6412/5955, numerators are 4984,6412
Denominators are 146,5955
The GCF of 4984,6412 is 28 .
LCM of 146,5955 is 869430.
The greatest common factor of 4984/146,6412/5955 = [GCF of 4984,6412]/[LCM of 146,5955]= 28/869430
Therefore, the GCF of 4984/146,6412/5955 is 28/869430.
To find the highest common factor of 4984,6412, we have to find the factors of both numbers and list the highest common factor.
The factors of 4984 are 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984
The factors of 6412 are 1, 2, 4, 7, 14, 28, 229, 458, 916, 1603, 3206, 6412
The HCF of 4984,6412 is 28.
Lets's calculate GCF of 4984,6412
| 2 | 4984, 6412 |
| 2 | 2492, 3206 |
| 7 | 1246, 1603 |
| 178, 229 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 4984,6412 By Matching Biggest Common Factor Method
Now, list down the factors of 4984
:1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984
Now, list down the factors of 6412
:1,2,4,7,14,28,229,458,916,1603,3206,6412
Greatest Common Factor
We found the factors 4984,6412 . The biggest common factor number is the GCF number.
So the greatest common factor 4984,6412 is 28.
Lets's calculate LCM of 146,5955
Given numbers has no common factors except 1. So, there LCM is their product i.e 869430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/869430
Therefore, the GCF of Fractions 4984/146,6412/5955 is 28/869430
Least Common Multiple of 146,5955 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 146,5955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,5955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,5955) x common factors =1 x 1 = 1
LCM(146,5955) = ( 146 × 5955 ) / 1
LCM(146,5955) = 869430 / 1
LCM(146,5955) = 869430
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FAQs on GCF of Fractions of 4984/146, 6412/5955
1. What is the HCF of 4984,6412?
The HCF of 4984,6412 is 28
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 4984/146, 6412/5955?
Answer: GCF of Numerators as per given numbers 4984/146, 6412/5955 is
GCF of Numerators i.e. for 4984,6412 is 28
LCM of denominators i.e. for 146,5955 is 869430.
Thus, GCF of Fractions is 28/869430.Finally, GCF of Fractions for 4984/146, 6412/5955 is 28/869430.