GCF of 6562/782, 7885/1521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6562/782, 7885/1521 i.e 1/1189422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6562/782, 7885/1521.
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 6562/782,7885/1521?
Given fractions are 6562/782,7885/1521
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 6562/782,7885/1521, numerators are 6562,7885
Denominators are 782,1521
The GCF of 6562,7885 is 1 .
LCM of 782,1521 is 1189422.
The greatest common factor of 6562/782,7885/1521 = [GCF of 6562,7885]/[LCM of 782,1521]= 1/1189422
Therefore, the GCF of 6562/782,7885/1521 is 1/1189422.
To find the highest common factor of 6562,7885, we have to find the factors of both numbers and list the highest common factor.
The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562
The factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885
The HCF of 6562,7885 is 1.
Lets's calculate GCF of 6562,7885
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6562,7885 By Matching Biggest Common Factor Method
Now, list down the factors of 6562
:1,2,17,34,193,386,3281,6562
Now, list down the factors of 7885
:1,5,19,83,95,415,1577,7885
Greatest Common Factor
We found the factors 6562,7885 . The biggest common factor number is the GCF number.
So the greatest common factor 6562,7885 is 1.
Lets's calculate LCM of 782,1521
Given numbers has no common factors except 1. So, there LCM is their product i.e 1189422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1189422
Therefore, the GCF of Fractions 6562/782,7885/1521 is 1/1189422
Least Common Multiple of 782,1521 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 782,1521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,1521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,1521) x common factors =1 x 1 = 1
LCM(782,1521) = ( 782 × 1521 ) / 1
LCM(782,1521) = 1189422 / 1
LCM(782,1521) = 1189422
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FAQs on GCF of Fractions of 6562/782, 7885/1521
1. What is the HCF of 6562,7885?
The HCF of 6562,7885 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 6562/782, 7885/1521?
Answer: GCF of Numerators as per given numbers 6562/782, 7885/1521 is
GCF of Numerators i.e. for 6562,7885 is 1
LCM of denominators i.e. for 782,1521 is 1189422.
Thus, GCF of Fractions is 1/1189422.Finally, GCF of Fractions for 6562/782, 7885/1521 is 1/1189422.