GCF of 4724/700, 8168/2790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4724/700, 8168/2790 i.e 4/195300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4724/700, 8168/2790.
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 4724/700,8168/2790?
Given fractions are 4724/700,8168/2790
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 4724/700,8168/2790, numerators are 4724,8168
Denominators are 700,2790
The GCF of 4724,8168 is 4 .
LCM of 700,2790 is 195300.
The greatest common factor of 4724/700,8168/2790 = [GCF of 4724,8168]/[LCM of 700,2790]= 4/195300
Therefore, the GCF of 4724/700,8168/2790 is 4/195300.
To find the highest common factor of 4724,8168, we have to find the factors of both numbers and list the highest common factor.
The factors of 4724 are 1, 2, 4, 1181, 2362, 4724
The factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168
The HCF of 4724,8168 is 4.
Lets's calculate GCF of 4724,8168
| 2 | 4724, 8168 |
| 2 | 2362, 4084 |
| 1181, 2042 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4724,8168 By Matching Biggest Common Factor Method
Now, list down the factors of 4724
:1,2,4,1181,2362,4724
Now, list down the factors of 8168
:1,2,4,8,1021,2042,4084,8168
Greatest Common Factor
We found the factors 4724,8168 . The biggest common factor number is the GCF number.
So the greatest common factor 4724,8168 is 4.
Lets's calculate LCM of 700,2790
| 2 | 700, 2790 |
| 5 | 350, 1395 |
| 70, 279 |
∴ So the LCM of the given numbers is 2 x 5 x 70 x 279 = 195300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/195300
Therefore, the GCF of Fractions 4724/700,8168/2790 is 4/195300
Least Common Multiple of 700,2790 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 700,2790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,2790) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(700,2790) x common factors =10 x 1 = 10
LCM(700,2790) = ( 700 × 2790 ) / 10
LCM(700,2790) = 1953000 / 10
LCM(700,2790) = 195300
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FAQs on GCF of Fractions of 4724/700, 8168/2790
1. What is the HCF of 4724,8168?
The HCF of 4724,8168 is 4
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 4724/700, 8168/2790?
Answer: GCF of Numerators as per given numbers 4724/700, 8168/2790 is
GCF of Numerators i.e. for 4724,8168 is 4
LCM of denominators i.e. for 700,2790 is 195300.
Thus, GCF of Fractions is 4/195300.Finally, GCF of Fractions for 4724/700, 8168/2790 is 4/195300.