GCF of 4746/700, 1952/8406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4746/700, 1952/8406 i.e 2/2942100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4746/700, 1952/8406.
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 4746/700,1952/8406?
Given fractions are 4746/700,1952/8406
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 4746/700,1952/8406, numerators are 4746,1952
Denominators are 700,8406
The GCF of 4746,1952 is 2 .
LCM of 700,8406 is 2942100.
The greatest common factor of 4746/700,1952/8406 = [GCF of 4746,1952]/[LCM of 700,8406]= 2/2942100
Therefore, the GCF of 4746/700,1952/8406 is 2/2942100.
To find the highest common factor of 4746,1952, we have to find the factors of both numbers and list the highest common factor.
The factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746
The factors of 1952 are 1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952
The HCF of 4746,1952 is 2.
Lets's calculate GCF of 4746,1952
| 2 | 4746, 1952 |
| 2373, 976 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4746,1952 By Matching Biggest Common Factor Method
Now, list down the factors of 4746
:1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746
Now, list down the factors of 1952
:1,2,4,8,16,32,61,122,244,488,976,1952
Greatest Common Factor
We found the factors 4746,1952 . The biggest common factor number is the GCF number.
So the greatest common factor 4746,1952 is 2.
Lets's calculate LCM of 700,8406
| 2 | 700, 8406 |
| 350, 4203 |
∴ So the LCM of the given numbers is 2 x 350 x 4203 = 2942100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2942100
Therefore, the GCF of Fractions 4746/700,1952/8406 is 2/2942100
Least Common Multiple of 700,8406 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 700,8406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,8406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(700,8406) x common factors =2 x 1 = 2
LCM(700,8406) = ( 700 × 8406 ) / 2
LCM(700,8406) = 5884200 / 2
LCM(700,8406) = 2942100
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FAQs on GCF of Fractions of 4746/700, 1952/8406
1. What is the HCF of 4746,1952?
The HCF of 4746,1952 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 4746/700, 1952/8406?
Answer: GCF of Numerators as per given numbers 4746/700, 1952/8406 is
GCF of Numerators i.e. for 4746,1952 is 2
LCM of denominators i.e. for 700,8406 is 2942100.
Thus, GCF of Fractions is 2/2942100.Finally, GCF of Fractions for 4746/700, 1952/8406 is 2/2942100.