GCF of 4707/647, 1268/2600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4707/647, 1268/2600 i.e 1/1682200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4707/647, 1268/2600.
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 4707/647,1268/2600?
Given fractions are 4707/647,1268/2600
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 4707/647,1268/2600, numerators are 4707,1268
Denominators are 647,2600
The GCF of 4707,1268 is 1 .
LCM of 647,2600 is 1682200.
The greatest common factor of 4707/647,1268/2600 = [GCF of 4707,1268]/[LCM of 647,2600]= 1/1682200
Therefore, the GCF of 4707/647,1268/2600 is 1/1682200.
To find the highest common factor of 4707,1268, we have to find the factors of both numbers and list the highest common factor.
The factors of 4707 are 1, 3, 9, 523, 1569, 4707
The factors of 1268 are 1, 2, 4, 317, 634, 1268
The HCF of 4707,1268 is 1.
Lets's calculate GCF of 4707,1268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4707,1268 By Matching Biggest Common Factor Method
Now, list down the factors of 4707
:1,3,9,523,1569,4707
Now, list down the factors of 1268
:1,2,4,317,634,1268
Greatest Common Factor
We found the factors 4707,1268 . The biggest common factor number is the GCF number.
So the greatest common factor 4707,1268 is 1.
Lets's calculate LCM of 647,2600
Given numbers has no common factors except 1. So, there LCM is their product i.e 1682200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1682200
Therefore, the GCF of Fractions 4707/647,1268/2600 is 1/1682200
Least Common Multiple of 647,2600 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 647,2600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,2600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,2600) x common factors =1 x 1 = 1
LCM(647,2600) = ( 647 × 2600 ) / 1
LCM(647,2600) = 1682200 / 1
LCM(647,2600) = 1682200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4707/647, 1268/2600
1. What is the HCF of 4707,1268?
The HCF of 4707,1268 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 4707/647, 1268/2600?
Answer: GCF of Numerators as per given numbers 4707/647, 1268/2600 is
GCF of Numerators i.e. for 4707,1268 is 1
LCM of denominators i.e. for 647,2600 is 1682200.
Thus, GCF of Fractions is 1/1682200.Finally, GCF of Fractions for 4707/647, 1268/2600 is 1/1682200.