GCF of 6472/667, 6500/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6472/667, 6500/419 i.e 4/279473 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6472/667, 6500/419.
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 6472/667,6500/419?
Given fractions are 6472/667,6500/419
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 6472/667,6500/419, numerators are 6472,6500
Denominators are 667,419
The GCF of 6472,6500 is 4 .
LCM of 667,419 is 279473.
The greatest common factor of 6472/667,6500/419 = [GCF of 6472,6500]/[LCM of 667,419]= 4/279473
Therefore, the GCF of 6472/667,6500/419 is 4/279473.
To find the highest common factor of 6472,6500, we have to find the factors of both numbers and list the highest common factor.
The factors of 6472 are 1, 2, 4, 8, 809, 1618, 3236, 6472
The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The HCF of 6472,6500 is 4.
Lets's calculate GCF of 6472,6500
| 2 | 6472, 6500 |
| 2 | 3236, 3250 |
| 1618, 1625 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6472,6500 By Matching Biggest Common Factor Method
Now, list down the factors of 6472
:1,2,4,8,809,1618,3236,6472
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Greatest Common Factor
We found the factors 6472,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 6472,6500 is 4.
Lets's calculate LCM of 667,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 279473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/279473
Therefore, the GCF of Fractions 6472/667,6500/419 is 4/279473
Least Common Multiple of 667,419 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 667,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,419) x common factors =1 x 1 = 1
LCM(667,419) = ( 667 × 419 ) / 1
LCM(667,419) = 279473 / 1
LCM(667,419) = 279473
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FAQs on GCF of Fractions of 6472/667, 6500/419
1. What is the HCF of 6472,6500?
The HCF of 6472,6500 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 6472/667, 6500/419?
Answer: GCF of Numerators as per given numbers 6472/667, 6500/419 is
GCF of Numerators i.e. for 6472,6500 is 4
LCM of denominators i.e. for 667,419 is 279473.
Thus, GCF of Fractions is 4/279473.Finally, GCF of Fractions for 6472/667, 6500/419 is 4/279473.