GCF of 4387/695, 4770/6306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4387/695, 4770/6306 i.e 1/4382670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4387/695, 4770/6306.
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 4387/695,4770/6306?
Given fractions are 4387/695,4770/6306
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 4387/695,4770/6306, numerators are 4387,4770
Denominators are 695,6306
The GCF of 4387,4770 is 1 .
LCM of 695,6306 is 4382670.
The greatest common factor of 4387/695,4770/6306 = [GCF of 4387,4770]/[LCM of 695,6306]= 1/4382670
Therefore, the GCF of 4387/695,4770/6306 is 1/4382670.
To find the highest common factor of 4387,4770, we have to find the factors of both numbers and list the highest common factor.
The factors of 4387 are 1, 41, 107, 4387
The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770
The HCF of 4387,4770 is 1.
Lets's calculate GCF of 4387,4770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4387,4770 By Matching Biggest Common Factor Method
Now, list down the factors of 4387
:1,41,107,4387
Now, list down the factors of 4770
:1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Greatest Common Factor
We found the factors 4387,4770 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,4770 is 1.
Lets's calculate LCM of 695,6306
Given numbers has no common factors except 1. So, there LCM is their product i.e 4382670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4382670
Therefore, the GCF of Fractions 4387/695,4770/6306 is 1/4382670
Least Common Multiple of 695,6306 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 695,6306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,6306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,6306) x common factors =1 x 1 = 1
LCM(695,6306) = ( 695 × 6306 ) / 1
LCM(695,6306) = 4382670 / 1
LCM(695,6306) = 4382670
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FAQs on GCF of Fractions of 4387/695, 4770/6306
1. What is the HCF of 4387,4770?
The HCF of 4387,4770 is 1
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 4387/695, 4770/6306?
Answer: GCF of Numerators as per given numbers 4387/695, 4770/6306 is
GCF of Numerators i.e. for 4387,4770 is 1
LCM of denominators i.e. for 695,6306 is 4382670.
Thus, GCF of Fractions is 1/4382670.Finally, GCF of Fractions for 4387/695, 4770/6306 is 1/4382670.