GCF of 2101/690, 6826/7773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2101/690, 6826/7773 i.e 1/1787790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2101/690, 6826/7773.
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 2101/690,6826/7773?
Given fractions are 2101/690,6826/7773
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 2101/690,6826/7773, numerators are 2101,6826
Denominators are 690,7773
The GCF of 2101,6826 is 1 .
LCM of 690,7773 is 1787790.
The greatest common factor of 2101/690,6826/7773 = [GCF of 2101,6826]/[LCM of 690,7773]= 1/1787790
Therefore, the GCF of 2101/690,6826/7773 is 1/1787790.
To find the highest common factor of 2101,6826, we have to find the factors of both numbers and list the highest common factor.
The factors of 2101 are 1, 11, 191, 2101
The factors of 6826 are 1, 2, 3413, 6826
The HCF of 2101,6826 is 1.
Lets's calculate GCF of 2101,6826
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2101,6826 By Matching Biggest Common Factor Method
Now, list down the factors of 2101
:1,11,191,2101
Now, list down the factors of 6826
:1,2,3413,6826
Greatest Common Factor
We found the factors 2101,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 2101,6826 is 1.
Lets's calculate LCM of 690,7773
| 3 | 690, 7773 |
| 230, 2591 |
∴ So the LCM of the given numbers is 3 x 230 x 2591 = 1787790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1787790
Therefore, the GCF of Fractions 2101/690,6826/7773 is 1/1787790
Least Common Multiple of 690,7773 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 690,7773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,7773) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(690,7773) x common factors =3 x 1 = 3
LCM(690,7773) = ( 690 × 7773 ) / 3
LCM(690,7773) = 5363370 / 3
LCM(690,7773) = 1787790
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FAQs on GCF of Fractions of 2101/690, 6826/7773
1. What is the HCF of 2101,6826?
The HCF of 2101,6826 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 2101/690, 6826/7773?
Answer: GCF of Numerators as per given numbers 2101/690, 6826/7773 is
GCF of Numerators i.e. for 2101,6826 is 1
LCM of denominators i.e. for 690,7773 is 1787790.
Thus, GCF of Fractions is 1/1787790.Finally, GCF of Fractions for 2101/690, 6826/7773 is 1/1787790.