GCF of 4918/196, 1896/4070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4918/196, 1896/4070 i.e 2/398860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4918/196, 1896/4070.
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 4918/196,1896/4070?
Given fractions are 4918/196,1896/4070
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 4918/196,1896/4070, numerators are 4918,1896
Denominators are 196,4070
The GCF of 4918,1896 is 2 .
LCM of 196,4070 is 398860.
The greatest common factor of 4918/196,1896/4070 = [GCF of 4918,1896]/[LCM of 196,4070]= 2/398860
Therefore, the GCF of 4918/196,1896/4070 is 2/398860.
To find the highest common factor of 4918,1896, we have to find the factors of both numbers and list the highest common factor.
The factors of 4918 are 1, 2, 2459, 4918
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The HCF of 4918,1896 is 2.
Lets's calculate GCF of 4918,1896
| 2 | 4918, 1896 |
| 2459, 948 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4918,1896 By Matching Biggest Common Factor Method
Now, list down the factors of 4918
:1,2,2459,4918
Now, list down the factors of 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 4918,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 4918,1896 is 2.
Lets's calculate LCM of 196,4070
| 2 | 196, 4070 |
| 98, 2035 |
∴ So the LCM of the given numbers is 2 x 98 x 2035 = 398860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398860
Therefore, the GCF of Fractions 4918/196,1896/4070 is 2/398860
Least Common Multiple of 196,4070 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 196,4070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,4070) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(196,4070) x common factors =2 x 1 = 2
LCM(196,4070) = ( 196 × 4070 ) / 2
LCM(196,4070) = 797720 / 2
LCM(196,4070) = 398860
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FAQs on GCF of Fractions of 4918/196, 1896/4070
1. What is the HCF of 4918,1896?
The HCF of 4918,1896 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 4918/196, 1896/4070?
Answer: GCF of Numerators as per given numbers 4918/196, 1896/4070 is
GCF of Numerators i.e. for 4918,1896 is 2
LCM of denominators i.e. for 196,4070 is 398860.
Thus, GCF of Fractions is 2/398860.Finally, GCF of Fractions for 4918/196, 1896/4070 is 2/398860.