GCF of 65/807, 386/937, 284/112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 65/807, 386/937, 284/112 i.e 1/84689808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/807, 386/937, 284/112.
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 65/807,386/937,284/112?
Given fractions are 65/807,386/937,284/112
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 65/807,386/937,284/112, numerators are 65,386,284
Denominators are 807,937,112
The GCF of 65,386,284 is 1 .
LCM of 807,937,112 is 84689808.
The greatest common factor of 65/807,386/937,284/112 = [GCF of 65,386,284]/[LCM of 807,937,112]= 1/84689808
Therefore, the GCF of 65/807,386/937,284/112 is 1/84689808.
To find the highest common factor of 65,386,284, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 386 are 1, 2, 193, 386
The factors of 284 are 1, 2, 4, 71, 142, 284
The HCF of 65,386,284 is 1.
Lets's calculate GCF of 65,386,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 65,386,284 By Matching Biggest Common Factor Method
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 386
:1,2,193,386
Now, list down the factors of 284
:1,2,4,71,142,284
Greatest Common Factor
We found the factors 65,386,284 . The biggest common factor number is the GCF number.
So the greatest common factor 65,386,284 is 1.
Lets's calculate LCM of 807,937,112
Given numbers has no common factors except 1. So, there LCM is their product i.e 84689808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84689808
Therefore, the GCF of Fractions 65/807,386/937,284/112 is 1/84689808
Least Common Multiple of 807,937,112 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 807,937,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,937,112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,937,112) x common factors =1 x 1 = 1
LCM(807,937,112) = ( 807 × 937 × 112 ) / 1
LCM(807,937,112) = 84689808 / 1
LCM(807,937,112) = 84689808
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FAQs on GCF of Fractions of 65/807, 386/937, 284/112
1. What is the HCF of 65,386,284?
The HCF of 65,386,284 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 65/807, 386/937, 284/112?
Answer: GCF of Numerators as per given numbers 65/807, 386/937, 284/112 is
GCF of Numerators i.e. for 65,386,284 is 1
LCM of denominators i.e. for 807,937,112 is 84689808.
Thus, GCF of Fractions is 1/84689808.Finally, GCF of Fractions for 65/807, 386/937, 284/112 is 1/84689808.