GCF of 2073/277, 6812/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2073/277, 6812/322 i.e 1/89194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2073/277, 6812/322.
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 2073/277,6812/322?
Given fractions are 2073/277,6812/322
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 2073/277,6812/322, numerators are 2073,6812
Denominators are 277,322
The GCF of 2073,6812 is 1 .
LCM of 277,322 is 89194.
The greatest common factor of 2073/277,6812/322 = [GCF of 2073,6812]/[LCM of 277,322]= 1/89194
Therefore, the GCF of 2073/277,6812/322 is 1/89194.
To find the highest common factor of 2073,6812, we have to find the factors of both numbers and list the highest common factor.
The factors of 2073 are 1, 3, 691, 2073
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 2073,6812 is 1.
Lets's calculate GCF of 2073,6812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2073,6812 By Matching Biggest Common Factor Method
Now, list down the factors of 2073
:1,3,691,2073
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 2073,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 2073,6812 is 1.
Lets's calculate LCM of 277,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 89194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89194
Therefore, the GCF of Fractions 2073/277,6812/322 is 1/89194
Least Common Multiple of 277,322 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 277,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,322) x common factors =1 x 1 = 1
LCM(277,322) = ( 277 × 322 ) / 1
LCM(277,322) = 89194 / 1
LCM(277,322) = 89194
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FAQs on GCF of Fractions of 2073/277, 6812/322
1. What is the HCF of 2073,6812?
The HCF of 2073,6812 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 2073/277, 6812/322?
Answer: GCF of Numerators as per given numbers 2073/277, 6812/322 is
GCF of Numerators i.e. for 2073,6812 is 1
LCM of denominators i.e. for 277,322 is 89194.
Thus, GCF of Fractions is 1/89194.Finally, GCF of Fractions for 2073/277, 6812/322 is 1/89194.