GCF of 1442/382, 1928/8265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1442/382, 1928/8265 i.e 2/3157230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1442/382, 1928/8265.
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 1442/382,1928/8265?
Given fractions are 1442/382,1928/8265
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 1442/382,1928/8265, numerators are 1442,1928
Denominators are 382,8265
The GCF of 1442,1928 is 2 .
LCM of 382,8265 is 3157230.
The greatest common factor of 1442/382,1928/8265 = [GCF of 1442,1928]/[LCM of 382,8265]= 2/3157230
Therefore, the GCF of 1442/382,1928/8265 is 2/3157230.
To find the highest common factor of 1442,1928, we have to find the factors of both numbers and list the highest common factor.
The factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442
The factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928
The HCF of 1442,1928 is 2.
Lets's calculate GCF of 1442,1928
| 2 | 1442, 1928 |
| 721, 964 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1442,1928 By Matching Biggest Common Factor Method
Now, list down the factors of 1442
:1,2,7,14,103,206,721,1442
Now, list down the factors of 1928
:1,2,4,8,241,482,964,1928
Greatest Common Factor
We found the factors 1442,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 1442,1928 is 2.
Lets's calculate LCM of 382,8265
Given numbers has no common factors except 1. So, there LCM is their product i.e 3157230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3157230
Therefore, the GCF of Fractions 1442/382,1928/8265 is 2/3157230
Least Common Multiple of 382,8265 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 382,8265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,8265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,8265) x common factors =1 x 1 = 1
LCM(382,8265) = ( 382 × 8265 ) / 1
LCM(382,8265) = 3157230 / 1
LCM(382,8265) = 3157230
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FAQs on GCF of Fractions of 1442/382, 1928/8265
1. What is the HCF of 1442,1928?
The HCF of 1442,1928 is 2
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 1442/382, 1928/8265?
Answer: GCF of Numerators as per given numbers 1442/382, 1928/8265 is
GCF of Numerators i.e. for 1442,1928 is 2
LCM of denominators i.e. for 382,8265 is 3157230.
Thus, GCF of Fractions is 2/3157230.Finally, GCF of Fractions for 1442/382, 1928/8265 is 2/3157230.