GCF of 1239/946, 7343/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1239/946, 7343/871 i.e 7/823966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1239/946, 7343/871.
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 1239/946,7343/871?
Given fractions are 1239/946,7343/871
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 1239/946,7343/871, numerators are 1239,7343
Denominators are 946,871
The GCF of 1239,7343 is 7 .
LCM of 946,871 is 823966.
The greatest common factor of 1239/946,7343/871 = [GCF of 1239,7343]/[LCM of 946,871]= 7/823966
Therefore, the GCF of 1239/946,7343/871 is 7/823966.
To find the highest common factor of 1239,7343, we have to find the factors of both numbers and list the highest common factor.
The factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239
The factors of 7343 are 1, 7, 1049, 7343
The HCF of 1239,7343 is 7.
Lets's calculate GCF of 1239,7343
| 7 | 1239, 7343 |
| 177, 1049 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1239,7343 By Matching Biggest Common Factor Method
Now, list down the factors of 1239
:1,3,7,21,59,177,413,1239
Now, list down the factors of 7343
:1,7,1049,7343
Greatest Common Factor
We found the factors 1239,7343 . The biggest common factor number is the GCF number.
So the greatest common factor 1239,7343 is 7.
Lets's calculate LCM of 946,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 823966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/823966
Therefore, the GCF of Fractions 1239/946,7343/871 is 7/823966
Least Common Multiple of 946,871 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 946,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,871) x common factors =1 x 1 = 1
LCM(946,871) = ( 946 × 871 ) / 1
LCM(946,871) = 823966 / 1
LCM(946,871) = 823966
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FAQs on GCF of Fractions of 1239/946, 7343/871
1. What is the HCF of 1239,7343?
The HCF of 1239,7343 is 7
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 1239/946, 7343/871?
Answer: GCF of Numerators as per given numbers 1239/946, 7343/871 is
GCF of Numerators i.e. for 1239,7343 is 7
LCM of denominators i.e. for 946,871 is 823966.
Thus, GCF of Fractions is 7/823966.Finally, GCF of Fractions for 1239/946, 7343/871 is 7/823966.