GCF of 655/767, 619/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 655/767, 619/211 i.e 1/161837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/767, 619/211.
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 655/767,619/211?
Given fractions are 655/767,619/211
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 655/767,619/211, numerators are 655,619
Denominators are 767,211
The GCF of 655,619 is 1 .
LCM of 767,211 is 161837.
The greatest common factor of 655/767,619/211 = [GCF of 655,619]/[LCM of 767,211]= 1/161837
Therefore, the GCF of 655/767,619/211 is 1/161837.
To find the highest common factor of 655,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 619 are 1, 619
The HCF of 655,619 is 1.
Lets's calculate GCF of 655,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 655,619 By Matching Biggest Common Factor Method
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 655,619 . The biggest common factor number is the GCF number.
So the greatest common factor 655,619 is 1.
Lets's calculate LCM of 767,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 161837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161837
Therefore, the GCF of Fractions 655/767,619/211 is 1/161837
Least Common Multiple of 767,211 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 767,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,211) x common factors =1 x 1 = 1
LCM(767,211) = ( 767 × 211 ) / 1
LCM(767,211) = 161837 / 1
LCM(767,211) = 161837
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FAQs on GCF of Fractions of 655/767, 619/211
1. What is the HCF of 655,619?
The HCF of 655,619 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 655/767, 619/211?
Answer: GCF of Numerators as per given numbers 655/767, 619/211 is
GCF of Numerators i.e. for 655,619 is 1
LCM of denominators i.e. for 767,211 is 161837.
Thus, GCF of Fractions is 1/161837.Finally, GCF of Fractions for 655/767, 619/211 is 1/161837.