GCF of 1950/802, 4756/4157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/802, 4756/4157 i.e 2/3333914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/802, 4756/4157.
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 1950/802,4756/4157?
Given fractions are 1950/802,4756/4157
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 1950/802,4756/4157, numerators are 1950,4756
Denominators are 802,4157
The GCF of 1950,4756 is 2 .
LCM of 802,4157 is 3333914.
The greatest common factor of 1950/802,4756/4157 = [GCF of 1950,4756]/[LCM of 802,4157]= 2/3333914
Therefore, the GCF of 1950/802,4756/4157 is 2/3333914.
To find the highest common factor of 1950,4756, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
The HCF of 1950,4756 is 2.
Lets's calculate GCF of 1950,4756
| 2 | 1950, 4756 |
| 975, 2378 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1950,4756 By Matching Biggest Common Factor Method
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Now, list down the factors of 4756
:1,2,4,29,41,58,82,116,164,1189,2378,4756
Greatest Common Factor
We found the factors 1950,4756 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,4756 is 2.
Lets's calculate LCM of 802,4157
Given numbers has no common factors except 1. So, there LCM is their product i.e 3333914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3333914
Therefore, the GCF of Fractions 1950/802,4756/4157 is 2/3333914
Least Common Multiple of 802,4157 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 802,4157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,4157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,4157) x common factors =1 x 1 = 1
LCM(802,4157) = ( 802 × 4157 ) / 1
LCM(802,4157) = 3333914 / 1
LCM(802,4157) = 3333914
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FAQs on GCF of Fractions of 1950/802, 4756/4157
1. What is the HCF of 1950,4756?
The HCF of 1950,4756 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 1950/802, 4756/4157?
Answer: GCF of Numerators as per given numbers 1950/802, 4756/4157 is
GCF of Numerators i.e. for 1950,4756 is 2
LCM of denominators i.e. for 802,4157 is 3333914.
Thus, GCF of Fractions is 2/3333914.Finally, GCF of Fractions for 1950/802, 4756/4157 is 2/3333914.