GCF of 4997/827, 5650/7675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4997/827, 5650/7675 i.e 1/6347225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4997/827, 5650/7675.
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 4997/827,5650/7675?
Given fractions are 4997/827,5650/7675
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 4997/827,5650/7675, numerators are 4997,5650
Denominators are 827,7675
The GCF of 4997,5650 is 1 .
LCM of 827,7675 is 6347225.
The greatest common factor of 4997/827,5650/7675 = [GCF of 4997,5650]/[LCM of 827,7675]= 1/6347225
Therefore, the GCF of 4997/827,5650/7675 is 1/6347225.
To find the highest common factor of 4997,5650, we have to find the factors of both numbers and list the highest common factor.
The factors of 4997 are 1, 19, 263, 4997
The factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650
The HCF of 4997,5650 is 1.
Lets's calculate GCF of 4997,5650
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4997,5650 By Matching Biggest Common Factor Method
Now, list down the factors of 4997
:1,19,263,4997
Now, list down the factors of 5650
:1,2,5,10,25,50,113,226,565,1130,2825,5650
Greatest Common Factor
We found the factors 4997,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 4997,5650 is 1.
Lets's calculate LCM of 827,7675
Given numbers has no common factors except 1. So, there LCM is their product i.e 6347225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6347225
Therefore, the GCF of Fractions 4997/827,5650/7675 is 1/6347225
Least Common Multiple of 827,7675 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 827,7675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,7675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,7675) x common factors =1 x 1 = 1
LCM(827,7675) = ( 827 × 7675 ) / 1
LCM(827,7675) = 6347225 / 1
LCM(827,7675) = 6347225
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FAQs on GCF of Fractions of 4997/827, 5650/7675
1. What is the HCF of 4997,5650?
The HCF of 4997,5650 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 4997/827, 5650/7675?
Answer: GCF of Numerators as per given numbers 4997/827, 5650/7675 is
GCF of Numerators i.e. for 4997,5650 is 1
LCM of denominators i.e. for 827,7675 is 6347225.
Thus, GCF of Fractions is 1/6347225.Finally, GCF of Fractions for 4997/827, 5650/7675 is 1/6347225.