GCF of 2107/802, 8853/8218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2107/802, 8853/8218 i.e 1/3295418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2107/802, 8853/8218.
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 2107/802,8853/8218?
Given fractions are 2107/802,8853/8218
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 2107/802,8853/8218, numerators are 2107,8853
Denominators are 802,8218
The GCF of 2107,8853 is 1 .
LCM of 802,8218 is 3295418.
The greatest common factor of 2107/802,8853/8218 = [GCF of 2107,8853]/[LCM of 802,8218]= 1/3295418
Therefore, the GCF of 2107/802,8853/8218 is 1/3295418.
To find the highest common factor of 2107,8853, we have to find the factors of both numbers and list the highest common factor.
The factors of 2107 are 1, 7, 43, 49, 301, 2107
The factors of 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853
The HCF of 2107,8853 is 1.
Lets's calculate GCF of 2107,8853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2107,8853 By Matching Biggest Common Factor Method
Now, list down the factors of 2107
:1,7,43,49,301,2107
Now, list down the factors of 8853
:1,3,13,39,227,681,2951,8853
Greatest Common Factor
We found the factors 2107,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 2107,8853 is 1.
Lets's calculate LCM of 802,8218
| 2 | 802, 8218 |
| 401, 4109 |
∴ So the LCM of the given numbers is 2 x 401 x 4109 = 3295418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3295418
Therefore, the GCF of Fractions 2107/802,8853/8218 is 1/3295418
Least Common Multiple of 802,8218 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 802,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,8218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,8218) x common factors =2 x 1 = 2
LCM(802,8218) = ( 802 × 8218 ) / 2
LCM(802,8218) = 6590836 / 2
LCM(802,8218) = 3295418
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FAQs on GCF of Fractions of 2107/802, 8853/8218
1. What is the HCF of 2107,8853?
The HCF of 2107,8853 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 2107/802, 8853/8218?
Answer: GCF of Numerators as per given numbers 2107/802, 8853/8218 is
GCF of Numerators i.e. for 2107,8853 is 1
LCM of denominators i.e. for 802,8218 is 3295418.
Thus, GCF of Fractions is 1/3295418.Finally, GCF of Fractions for 2107/802, 8853/8218 is 1/3295418.