GCF of 7415/882, 1649/8495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7415/882, 1649/8495 i.e 1/7492590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7415/882, 1649/8495.
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 7415/882,1649/8495?
Given fractions are 7415/882,1649/8495
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 7415/882,1649/8495, numerators are 7415,1649
Denominators are 882,8495
The GCF of 7415,1649 is 1 .
LCM of 882,8495 is 7492590.
The greatest common factor of 7415/882,1649/8495 = [GCF of 7415,1649]/[LCM of 882,8495]= 1/7492590
Therefore, the GCF of 7415/882,1649/8495 is 1/7492590.
To find the highest common factor of 7415,1649, we have to find the factors of both numbers and list the highest common factor.
The factors of 7415 are 1, 5, 1483, 7415
The factors of 1649 are 1, 17, 97, 1649
The HCF of 7415,1649 is 1.
Lets's calculate GCF of 7415,1649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7415,1649 By Matching Biggest Common Factor Method
Now, list down the factors of 7415
:1,5,1483,7415
Now, list down the factors of 1649
:1,17,97,1649
Greatest Common Factor
We found the factors 7415,1649 . The biggest common factor number is the GCF number.
So the greatest common factor 7415,1649 is 1.
Lets's calculate LCM of 882,8495
Given numbers has no common factors except 1. So, there LCM is their product i.e 7492590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7492590
Therefore, the GCF of Fractions 7415/882,1649/8495 is 1/7492590
Least Common Multiple of 882,8495 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 882,8495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,8495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,8495) x common factors =1 x 1 = 1
LCM(882,8495) = ( 882 × 8495 ) / 1
LCM(882,8495) = 7492590 / 1
LCM(882,8495) = 7492590
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FAQs on GCF of Fractions of 7415/882, 1649/8495
1. What is the HCF of 7415,1649?
The HCF of 7415,1649 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 7415/882, 1649/8495?
Answer: GCF of Numerators as per given numbers 7415/882, 1649/8495 is
GCF of Numerators i.e. for 7415,1649 is 1
LCM of denominators i.e. for 882,8495 is 7492590.
Thus, GCF of Fractions is 1/7492590.Finally, GCF of Fractions for 7415/882, 1649/8495 is 1/7492590.