GCF of 828/943, 1507/859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 828/943, 1507/859 i.e 1/810037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/943, 1507/859.
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 828/943,1507/859?
Given fractions are 828/943,1507/859
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 828/943,1507/859, numerators are 828,1507
Denominators are 943,859
The GCF of 828,1507 is 1 .
LCM of 943,859 is 810037.
The greatest common factor of 828/943,1507/859 = [GCF of 828,1507]/[LCM of 943,859]= 1/810037
Therefore, the GCF of 828/943,1507/859 is 1/810037.
To find the highest common factor of 828,1507, we have to find the factors of both numbers and list the highest common factor.
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The factors of 1507 are 1, 11, 137, 1507
The HCF of 828,1507 is 1.
Lets's calculate GCF of 828,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 828,1507 By Matching Biggest Common Factor Method
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Now, list down the factors of 1507
:1,11,137,1507
Greatest Common Factor
We found the factors 828,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 828,1507 is 1.
Lets's calculate LCM of 943,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 810037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810037
Therefore, the GCF of Fractions 828/943,1507/859 is 1/810037
Least Common Multiple of 943,859 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 943,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,859) x common factors =1 x 1 = 1
LCM(943,859) = ( 943 × 859 ) / 1
LCM(943,859) = 810037 / 1
LCM(943,859) = 810037
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FAQs on GCF of Fractions of 828/943, 1507/859
1. What is the HCF of 828,1507?
The HCF of 828,1507 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 828/943, 1507/859?
Answer: GCF of Numerators as per given numbers 828/943, 1507/859 is
GCF of Numerators i.e. for 828,1507 is 1
LCM of denominators i.e. for 943,859 is 810037.
Thus, GCF of Fractions is 1/810037.Finally, GCF of Fractions for 828/943, 1507/859 is 1/810037.