GCF of 565/867, 524/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 565/867, 524/700 i.e 1/606900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/867, 524/700.
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 565/867,524/700?
Given fractions are 565/867,524/700
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 565/867,524/700, numerators are 565,524
Denominators are 867,700
The GCF of 565,524 is 1 .
LCM of 867,700 is 606900.
The greatest common factor of 565/867,524/700 = [GCF of 565,524]/[LCM of 867,700]= 1/606900
Therefore, the GCF of 565/867,524/700 is 1/606900.
To find the highest common factor of 565,524, we have to find the factors of both numbers and list the highest common factor.
The factors of 565 are 1, 5, 113, 565
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 565,524 is 1.
Lets's calculate GCF of 565,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 565,524 By Matching Biggest Common Factor Method
Now, list down the factors of 565
:1,5,113,565
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 565,524 . The biggest common factor number is the GCF number.
So the greatest common factor 565,524 is 1.
Lets's calculate LCM of 867,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 606900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606900
Therefore, the GCF of Fractions 565/867,524/700 is 1/606900
Least Common Multiple of 867,700 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 867,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,700) x common factors =1 x 1 = 1
LCM(867,700) = ( 867 × 700 ) / 1
LCM(867,700) = 606900 / 1
LCM(867,700) = 606900
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FAQs on GCF of Fractions of 565/867, 524/700
1. What is the HCF of 565,524?
The HCF of 565,524 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 565/867, 524/700?
Answer: GCF of Numerators as per given numbers 565/867, 524/700 is
GCF of Numerators i.e. for 565,524 is 1
LCM of denominators i.e. for 867,700 is 606900.
Thus, GCF of Fractions is 1/606900.Finally, GCF of Fractions for 565/867, 524/700 is 1/606900.