GCF of 7864/709, 7900/5676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7864/709, 7900/5676 i.e 4/4024284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7864/709, 7900/5676.
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 7864/709,7900/5676?
Given fractions are 7864/709,7900/5676
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 7864/709,7900/5676, numerators are 7864,7900
Denominators are 709,5676
The GCF of 7864,7900 is 4 .
LCM of 709,5676 is 4024284.
The greatest common factor of 7864/709,7900/5676 = [GCF of 7864,7900]/[LCM of 709,5676]= 4/4024284
Therefore, the GCF of 7864/709,7900/5676 is 4/4024284.
To find the highest common factor of 7864,7900, we have to find the factors of both numbers and list the highest common factor.
The factors of 7864 are 1, 2, 4, 8, 983, 1966, 3932, 7864
The factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900
The HCF of 7864,7900 is 4.
Lets's calculate GCF of 7864,7900
| 2 | 7864, 7900 |
| 2 | 3932, 3950 |
| 1966, 1975 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7864,7900 By Matching Biggest Common Factor Method
Now, list down the factors of 7864
:1,2,4,8,983,1966,3932,7864
Now, list down the factors of 7900
:1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900
Greatest Common Factor
We found the factors 7864,7900 . The biggest common factor number is the GCF number.
So the greatest common factor 7864,7900 is 4.
Lets's calculate LCM of 709,5676
Given numbers has no common factors except 1. So, there LCM is their product i.e 4024284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4024284
Therefore, the GCF of Fractions 7864/709,7900/5676 is 4/4024284
Least Common Multiple of 709,5676 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 709,5676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,5676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,5676) x common factors =1 x 1 = 1
LCM(709,5676) = ( 709 × 5676 ) / 1
LCM(709,5676) = 4024284 / 1
LCM(709,5676) = 4024284
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FAQs on GCF of Fractions of 7864/709, 7900/5676
1. What is the HCF of 7864,7900?
The HCF of 7864,7900 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 7864/709, 7900/5676?
Answer: GCF of Numerators as per given numbers 7864/709, 7900/5676 is
GCF of Numerators i.e. for 7864,7900 is 4
LCM of denominators i.e. for 709,5676 is 4024284.
Thus, GCF of Fractions is 4/4024284.Finally, GCF of Fractions for 7864/709, 7900/5676 is 4/4024284.