GCF of 4846/135, 2978/440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4846/135, 2978/440 i.e 2/11880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4846/135, 2978/440.
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 4846/135,2978/440?
Given fractions are 4846/135,2978/440
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 4846/135,2978/440, numerators are 4846,2978
Denominators are 135,440
The GCF of 4846,2978 is 2 .
LCM of 135,440 is 11880.
The greatest common factor of 4846/135,2978/440 = [GCF of 4846,2978]/[LCM of 135,440]= 2/11880
Therefore, the GCF of 4846/135,2978/440 is 2/11880.
To find the highest common factor of 4846,2978, we have to find the factors of both numbers and list the highest common factor.
The factors of 4846 are 1, 2, 2423, 4846
The factors of 2978 are 1, 2, 1489, 2978
The HCF of 4846,2978 is 2.
Lets's calculate GCF of 4846,2978
| 2 | 4846, 2978 |
| 2423, 1489 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4846,2978 By Matching Biggest Common Factor Method
Now, list down the factors of 4846
:1,2,2423,4846
Now, list down the factors of 2978
:1,2,1489,2978
Greatest Common Factor
We found the factors 4846,2978 . The biggest common factor number is the GCF number.
So the greatest common factor 4846,2978 is 2.
Lets's calculate LCM of 135,440
| 5 | 135, 440 |
| 27, 88 |
∴ So the LCM of the given numbers is 5 x 27 x 88 = 11880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11880
Therefore, the GCF of Fractions 4846/135,2978/440 is 2/11880
Least Common Multiple of 135,440 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 135,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,440) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(135,440) x common factors =5 x 1 = 5
LCM(135,440) = ( 135 × 440 ) / 5
LCM(135,440) = 59400 / 5
LCM(135,440) = 11880
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FAQs on GCF of Fractions of 4846/135, 2978/440
1. What is the HCF of 4846,2978?
The HCF of 4846,2978 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 4846/135, 2978/440?
Answer: GCF of Numerators as per given numbers 4846/135, 2978/440 is
GCF of Numerators i.e. for 4846,2978 is 2
LCM of denominators i.e. for 135,440 is 11880.
Thus, GCF of Fractions is 2/11880.Finally, GCF of Fractions for 4846/135, 2978/440 is 2/11880.