GCF of 719/614, 668/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 719/614, 668/565 i.e 1/346910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/614, 668/565.
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 719/614,668/565?
Given fractions are 719/614,668/565
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 719/614,668/565, numerators are 719,668
Denominators are 614,565
The GCF of 719,668 is 1 .
LCM of 614,565 is 346910.
The greatest common factor of 719/614,668/565 = [GCF of 719,668]/[LCM of 614,565]= 1/346910
Therefore, the GCF of 719/614,668/565 is 1/346910.
To find the highest common factor of 719,668, we have to find the factors of both numbers and list the highest common factor.
The factors of 719 are 1, 719
The factors of 668 are 1, 2, 4, 167, 334, 668
The HCF of 719,668 is 1.
Lets's calculate GCF of 719,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 719,668 By Matching Biggest Common Factor Method
Now, list down the factors of 719
:1,719
Now, list down the factors of 668
:1,2,4,167,334,668
Greatest Common Factor
We found the factors 719,668 . The biggest common factor number is the GCF number.
So the greatest common factor 719,668 is 1.
Lets's calculate LCM of 614,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 346910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346910
Therefore, the GCF of Fractions 719/614,668/565 is 1/346910
Least Common Multiple of 614,565 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 614,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,565) x common factors =1 x 1 = 1
LCM(614,565) = ( 614 × 565 ) / 1
LCM(614,565) = 346910 / 1
LCM(614,565) = 346910
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FAQs on GCF of Fractions of 719/614, 668/565
1. What is the HCF of 719,668?
The HCF of 719,668 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 719/614, 668/565?
Answer: GCF of Numerators as per given numbers 719/614, 668/565 is
GCF of Numerators i.e. for 719,668 is 1
LCM of denominators i.e. for 614,565 is 346910.
Thus, GCF of Fractions is 1/346910.Finally, GCF of Fractions for 719/614, 668/565 is 1/346910.