GCF of 4695/697, 7150/4381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4695/697, 7150/4381 i.e 5/3053557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4695/697, 7150/4381.
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 4695/697,7150/4381?
Given fractions are 4695/697,7150/4381
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 4695/697,7150/4381, numerators are 4695,7150
Denominators are 697,4381
The GCF of 4695,7150 is 5 .
LCM of 697,4381 is 3053557.
The greatest common factor of 4695/697,7150/4381 = [GCF of 4695,7150]/[LCM of 697,4381]= 5/3053557
Therefore, the GCF of 4695/697,7150/4381 is 5/3053557.
To find the highest common factor of 4695,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 4695,7150 is 5.
Lets's calculate GCF of 4695,7150
| 5 | 4695, 7150 |
| 939, 1430 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4695,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 4695
:1,3,5,15,313,939,1565,4695
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 4695,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 4695,7150 is 5.
Lets's calculate LCM of 697,4381
Given numbers has no common factors except 1. So, there LCM is their product i.e 3053557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3053557
Therefore, the GCF of Fractions 4695/697,7150/4381 is 5/3053557
Least Common Multiple of 697,4381 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 697,4381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,4381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,4381) x common factors =1 x 1 = 1
LCM(697,4381) = ( 697 × 4381 ) / 1
LCM(697,4381) = 3053557 / 1
LCM(697,4381) = 3053557
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FAQs on GCF of Fractions of 4695/697, 7150/4381
1. What is the HCF of 4695,7150?
The HCF of 4695,7150 is 5
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 4695/697, 7150/4381?
Answer: GCF of Numerators as per given numbers 4695/697, 7150/4381 is
GCF of Numerators i.e. for 4695,7150 is 5
LCM of denominators i.e. for 697,4381 is 3053557.
Thus, GCF of Fractions is 5/3053557.Finally, GCF of Fractions for 4695/697, 7150/4381 is 5/3053557.