GCF of 4151/736, 1900/6214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4151/736, 1900/6214 i.e 1/2286752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4151/736, 1900/6214.
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 4151/736,1900/6214?
Given fractions are 4151/736,1900/6214
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 4151/736,1900/6214, numerators are 4151,1900
Denominators are 736,6214
The GCF of 4151,1900 is 1 .
LCM of 736,6214 is 2286752.
The greatest common factor of 4151/736,1900/6214 = [GCF of 4151,1900]/[LCM of 736,6214]= 1/2286752
Therefore, the GCF of 4151/736,1900/6214 is 1/2286752.
To find the highest common factor of 4151,1900, we have to find the factors of both numbers and list the highest common factor.
The factors of 4151 are 1, 7, 593, 4151
The factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900
The HCF of 4151,1900 is 1.
Lets's calculate GCF of 4151,1900
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4151,1900 By Matching Biggest Common Factor Method
Now, list down the factors of 4151
:1,7,593,4151
Now, list down the factors of 1900
:1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Greatest Common Factor
We found the factors 4151,1900 . The biggest common factor number is the GCF number.
So the greatest common factor 4151,1900 is 1.
Lets's calculate LCM of 736,6214
| 2 | 736, 6214 |
| 368, 3107 |
∴ So the LCM of the given numbers is 2 x 368 x 3107 = 2286752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2286752
Therefore, the GCF of Fractions 4151/736,1900/6214 is 1/2286752
Least Common Multiple of 736,6214 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 736,6214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,6214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,6214) x common factors =2 x 1 = 2
LCM(736,6214) = ( 736 × 6214 ) / 2
LCM(736,6214) = 4573504 / 2
LCM(736,6214) = 2286752
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FAQs on GCF of Fractions of 4151/736, 1900/6214
1. What is the HCF of 4151,1900?
The HCF of 4151,1900 is 1
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 4151/736, 1900/6214?
Answer: GCF of Numerators as per given numbers 4151/736, 1900/6214 is
GCF of Numerators i.e. for 4151,1900 is 1
LCM of denominators i.e. for 736,6214 is 2286752.
Thus, GCF of Fractions is 1/2286752.Finally, GCF of Fractions for 4151/736, 1900/6214 is 1/2286752.