GCF of 8219/355, 9010/7638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8219/355, 9010/7638 i.e 1/2711490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8219/355, 9010/7638.
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 8219/355,9010/7638?
Given fractions are 8219/355,9010/7638
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 8219/355,9010/7638, numerators are 8219,9010
Denominators are 355,7638
The GCF of 8219,9010 is 1 .
LCM of 355,7638 is 2711490.
The greatest common factor of 8219/355,9010/7638 = [GCF of 8219,9010]/[LCM of 355,7638]= 1/2711490
Therefore, the GCF of 8219/355,9010/7638 is 1/2711490.
To find the highest common factor of 8219,9010, we have to find the factors of both numbers and list the highest common factor.
The factors of 8219 are 1, 8219
The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010
The HCF of 8219,9010 is 1.
Lets's calculate GCF of 8219,9010
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8219,9010 By Matching Biggest Common Factor Method
Now, list down the factors of 8219
:1,8219
Now, list down the factors of 9010
:1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010
Greatest Common Factor
We found the factors 8219,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 8219,9010 is 1.
Lets's calculate LCM of 355,7638
Given numbers has no common factors except 1. So, there LCM is their product i.e 2711490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2711490
Therefore, the GCF of Fractions 8219/355,9010/7638 is 1/2711490
Least Common Multiple of 355,7638 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 355,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,7638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,7638) x common factors =1 x 1 = 1
LCM(355,7638) = ( 355 × 7638 ) / 1
LCM(355,7638) = 2711490 / 1
LCM(355,7638) = 2711490
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FAQs on GCF of Fractions of 8219/355, 9010/7638
1. What is the HCF of 8219,9010?
The HCF of 8219,9010 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 8219/355, 9010/7638?
Answer: GCF of Numerators as per given numbers 8219/355, 9010/7638 is
GCF of Numerators i.e. for 8219,9010 is 1
LCM of denominators i.e. for 355,7638 is 2711490.
Thus, GCF of Fractions is 1/2711490.Finally, GCF of Fractions for 8219/355, 9010/7638 is 1/2711490.