GCF of 8567/255, 7814/641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8567/255, 7814/641 i.e 1/163455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8567/255, 7814/641.
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 8567/255,7814/641?
Given fractions are 8567/255,7814/641
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 8567/255,7814/641, numerators are 8567,7814
Denominators are 255,641
The GCF of 8567,7814 is 1 .
LCM of 255,641 is 163455.
The greatest common factor of 8567/255,7814/641 = [GCF of 8567,7814]/[LCM of 255,641]= 1/163455
Therefore, the GCF of 8567/255,7814/641 is 1/163455.
To find the highest common factor of 8567,7814, we have to find the factors of both numbers and list the highest common factor.
The factors of 8567 are 1, 13, 659, 8567
The factors of 7814 are 1, 2, 3907, 7814
The HCF of 8567,7814 is 1.
Lets's calculate GCF of 8567,7814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8567,7814 By Matching Biggest Common Factor Method
Now, list down the factors of 8567
:1,13,659,8567
Now, list down the factors of 7814
:1,2,3907,7814
Greatest Common Factor
We found the factors 8567,7814 . The biggest common factor number is the GCF number.
So the greatest common factor 8567,7814 is 1.
Lets's calculate LCM of 255,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 163455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163455
Therefore, the GCF of Fractions 8567/255,7814/641 is 1/163455
Least Common Multiple of 255,641 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 255,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,641) x common factors =1 x 1 = 1
LCM(255,641) = ( 255 × 641 ) / 1
LCM(255,641) = 163455 / 1
LCM(255,641) = 163455
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FAQs on GCF of Fractions of 8567/255, 7814/641
1. What is the HCF of 8567,7814?
The HCF of 8567,7814 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 8567/255, 7814/641?
Answer: GCF of Numerators as per given numbers 8567/255, 7814/641 is
GCF of Numerators i.e. for 8567,7814 is 1
LCM of denominators i.e. for 255,641 is 163455.
Thus, GCF of Fractions is 1/163455.Finally, GCF of Fractions for 8567/255, 7814/641 is 1/163455.