GCF of 6980/496, 7457/9217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6980/496, 7457/9217 i.e 1/4571632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6980/496, 7457/9217.
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 6980/496,7457/9217?
Given fractions are 6980/496,7457/9217
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 6980/496,7457/9217, numerators are 6980,7457
Denominators are 496,9217
The GCF of 6980,7457 is 1 .
LCM of 496,9217 is 4571632.
The greatest common factor of 6980/496,7457/9217 = [GCF of 6980,7457]/[LCM of 496,9217]= 1/4571632
Therefore, the GCF of 6980/496,7457/9217 is 1/4571632.
To find the highest common factor of 6980,7457, we have to find the factors of both numbers and list the highest common factor.
The factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980
The factors of 7457 are 1, 7457
The HCF of 6980,7457 is 1.
Lets's calculate GCF of 6980,7457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6980,7457 By Matching Biggest Common Factor Method
Now, list down the factors of 6980
:1,2,4,5,10,20,349,698,1396,1745,3490,6980
Now, list down the factors of 7457
:1,7457
Greatest Common Factor
We found the factors 6980,7457 . The biggest common factor number is the GCF number.
So the greatest common factor 6980,7457 is 1.
Lets's calculate LCM of 496,9217
Given numbers has no common factors except 1. So, there LCM is their product i.e 4571632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4571632
Therefore, the GCF of Fractions 6980/496,7457/9217 is 1/4571632
Least Common Multiple of 496,9217 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 496,9217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,9217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,9217) x common factors =1 x 1 = 1
LCM(496,9217) = ( 496 × 9217 ) / 1
LCM(496,9217) = 4571632 / 1
LCM(496,9217) = 4571632
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FAQs on GCF of Fractions of 6980/496, 7457/9217
1. What is the HCF of 6980,7457?
The HCF of 6980,7457 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 6980/496, 7457/9217?
Answer: GCF of Numerators as per given numbers 6980/496, 7457/9217 is
GCF of Numerators i.e. for 6980,7457 is 1
LCM of denominators i.e. for 496,9217 is 4571632.
Thus, GCF of Fractions is 1/4571632.Finally, GCF of Fractions for 6980/496, 7457/9217 is 1/4571632.