GCF of 1206/921, 6837/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1206/921, 6837/874 i.e 3/804954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1206/921, 6837/874.
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 1206/921,6837/874?
Given fractions are 1206/921,6837/874
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 1206/921,6837/874, numerators are 1206,6837
Denominators are 921,874
The GCF of 1206,6837 is 3 .
LCM of 921,874 is 804954.
The greatest common factor of 1206/921,6837/874 = [GCF of 1206,6837]/[LCM of 921,874]= 3/804954
Therefore, the GCF of 1206/921,6837/874 is 3/804954.
To find the highest common factor of 1206,6837, we have to find the factors of both numbers and list the highest common factor.
The factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206
The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837
The HCF of 1206,6837 is 3.
Lets's calculate GCF of 1206,6837
| 3 | 1206, 6837 |
| 402, 2279 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1206,6837 By Matching Biggest Common Factor Method
Now, list down the factors of 1206
:1,2,3,6,9,18,67,134,201,402,603,1206
Now, list down the factors of 6837
:1,3,43,53,129,159,2279,6837
Greatest Common Factor
We found the factors 1206,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 1206,6837 is 3.
Lets's calculate LCM of 921,874
Given numbers has no common factors except 1. So, there LCM is their product i.e 804954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/804954
Therefore, the GCF of Fractions 1206/921,6837/874 is 3/804954
Least Common Multiple of 921,874 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 921,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,874) x common factors =1 x 1 = 1
LCM(921,874) = ( 921 × 874 ) / 1
LCM(921,874) = 804954 / 1
LCM(921,874) = 804954
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FAQs on GCF of Fractions of 1206/921, 6837/874
1. What is the HCF of 1206,6837?
The HCF of 1206,6837 is 3
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 1206/921, 6837/874?
Answer: GCF of Numerators as per given numbers 1206/921, 6837/874 is
GCF of Numerators i.e. for 1206,6837 is 3
LCM of denominators i.e. for 921,874 is 804954.
Thus, GCF of Fractions is 3/804954.Finally, GCF of Fractions for 1206/921, 6837/874 is 3/804954.