GCF of 8447/245, 4870/6536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8447/245, 4870/6536 i.e 1/1601320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8447/245, 4870/6536.
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 8447/245,4870/6536?
Given fractions are 8447/245,4870/6536
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 8447/245,4870/6536, numerators are 8447,4870
Denominators are 245,6536
The GCF of 8447,4870 is 1 .
LCM of 245,6536 is 1601320.
The greatest common factor of 8447/245,4870/6536 = [GCF of 8447,4870]/[LCM of 245,6536]= 1/1601320
Therefore, the GCF of 8447/245,4870/6536 is 1/1601320.
To find the highest common factor of 8447,4870, we have to find the factors of both numbers and list the highest common factor.
The factors of 8447 are 1, 8447
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The HCF of 8447,4870 is 1.
Lets's calculate GCF of 8447,4870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8447,4870 By Matching Biggest Common Factor Method
Now, list down the factors of 8447
:1,8447
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Greatest Common Factor
We found the factors 8447,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 8447,4870 is 1.
Lets's calculate LCM of 245,6536
Given numbers has no common factors except 1. So, there LCM is their product i.e 1601320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1601320
Therefore, the GCF of Fractions 8447/245,4870/6536 is 1/1601320
Least Common Multiple of 245,6536 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 245,6536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,6536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,6536) x common factors =1 x 1 = 1
LCM(245,6536) = ( 245 × 6536 ) / 1
LCM(245,6536) = 1601320 / 1
LCM(245,6536) = 1601320
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FAQs on GCF of Fractions of 8447/245, 4870/6536
1. What is the HCF of 8447,4870?
The HCF of 8447,4870 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 8447/245, 4870/6536?
Answer: GCF of Numerators as per given numbers 8447/245, 4870/6536 is
GCF of Numerators i.e. for 8447,4870 is 1
LCM of denominators i.e. for 245,6536 is 1601320.
Thus, GCF of Fractions is 1/1601320.Finally, GCF of Fractions for 8447/245, 4870/6536 is 1/1601320.