GCF of 1487/707, 3024/926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1487/707, 3024/926 i.e 1/654682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1487/707, 3024/926.
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 1487/707,3024/926?
Given fractions are 1487/707,3024/926
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 1487/707,3024/926, numerators are 1487,3024
Denominators are 707,926
The GCF of 1487,3024 is 1 .
LCM of 707,926 is 654682.
The greatest common factor of 1487/707,3024/926 = [GCF of 1487,3024]/[LCM of 707,926]= 1/654682
Therefore, the GCF of 1487/707,3024/926 is 1/654682.
To find the highest common factor of 1487,3024, we have to find the factors of both numbers and list the highest common factor.
The factors of 1487 are 1, 1487
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The HCF of 1487,3024 is 1.
Lets's calculate GCF of 1487,3024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1487,3024 By Matching Biggest Common Factor Method
Now, list down the factors of 1487
:1,1487
Now, list down the factors of 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Greatest Common Factor
We found the factors 1487,3024 . The biggest common factor number is the GCF number.
So the greatest common factor 1487,3024 is 1.
Lets's calculate LCM of 707,926
Given numbers has no common factors except 1. So, there LCM is their product i.e 654682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654682
Therefore, the GCF of Fractions 1487/707,3024/926 is 1/654682
Least Common Multiple of 707,926 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 707,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,926) x common factors =1 x 1 = 1
LCM(707,926) = ( 707 × 926 ) / 1
LCM(707,926) = 654682 / 1
LCM(707,926) = 654682
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FAQs on GCF of Fractions of 1487/707, 3024/926
1. What is the HCF of 1487,3024?
The HCF of 1487,3024 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 1487/707, 3024/926?
Answer: GCF of Numerators as per given numbers 1487/707, 3024/926 is
GCF of Numerators i.e. for 1487,3024 is 1
LCM of denominators i.e. for 707,926 is 654682.
Thus, GCF of Fractions is 1/654682.Finally, GCF of Fractions for 1487/707, 3024/926 is 1/654682.