GCF of 314/190, 879/411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 314/190, 879/411 i.e 1/78090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 314/190, 879/411.
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 314/190,879/411?
Given fractions are 314/190,879/411
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 314/190,879/411, numerators are 314,879
Denominators are 190,411
The GCF of 314,879 is 1 .
LCM of 190,411 is 78090.
The greatest common factor of 314/190,879/411 = [GCF of 314,879]/[LCM of 190,411]= 1/78090
Therefore, the GCF of 314/190,879/411 is 1/78090.
To find the highest common factor of 314,879, we have to find the factors of both numbers and list the highest common factor.
The factors of 314 are 1, 2, 157, 314
The factors of 879 are 1, 3, 293, 879
The HCF of 314,879 is 1.
Lets's calculate GCF of 314,879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 314,879 By Matching Biggest Common Factor Method
Now, list down the factors of 314
:1,2,157,314
Now, list down the factors of 879
:1,3,293,879
Greatest Common Factor
We found the factors 314,879 . The biggest common factor number is the GCF number.
So the greatest common factor 314,879 is 1.
Lets's calculate LCM of 190,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 78090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78090
Therefore, the GCF of Fractions 314/190,879/411 is 1/78090
Least Common Multiple of 190,411 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 190,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(190,411) x common factors =1 x 1 = 1
LCM(190,411) = ( 190 × 411 ) / 1
LCM(190,411) = 78090 / 1
LCM(190,411) = 78090
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FAQs on GCF of Fractions of 314/190, 879/411
1. What is the HCF of 314,879?
The HCF of 314,879 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 314/190, 879/411?
Answer: GCF of Numerators as per given numbers 314/190, 879/411 is
GCF of Numerators i.e. for 314,879 is 1
LCM of denominators i.e. for 190,411 is 78090.
Thus, GCF of Fractions is 1/78090.Finally, GCF of Fractions for 314/190, 879/411 is 1/78090.