GCF of 1369/256, 2016/7765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1369/256, 2016/7765 i.e 1/1987840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1369/256, 2016/7765.
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 1369/256,2016/7765?
Given fractions are 1369/256,2016/7765
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 1369/256,2016/7765, numerators are 1369,2016
Denominators are 256,7765
The GCF of 1369,2016 is 1 .
LCM of 256,7765 is 1987840.
The greatest common factor of 1369/256,2016/7765 = [GCF of 1369,2016]/[LCM of 256,7765]= 1/1987840
Therefore, the GCF of 1369/256,2016/7765 is 1/1987840.
To find the highest common factor of 1369,2016, we have to find the factors of both numbers and list the highest common factor.
The factors of 1369 are 1, 37, 1369
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The HCF of 1369,2016 is 1.
Lets's calculate GCF of 1369,2016
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1369,2016 By Matching Biggest Common Factor Method
Now, list down the factors of 1369
:1,37,1369
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Greatest Common Factor
We found the factors 1369,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,2016 is 1.
Lets's calculate LCM of 256,7765
Given numbers has no common factors except 1. So, there LCM is their product i.e 1987840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1987840
Therefore, the GCF of Fractions 1369/256,2016/7765 is 1/1987840
Least Common Multiple of 256,7765 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 256,7765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,7765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,7765) x common factors =1 x 1 = 1
LCM(256,7765) = ( 256 × 7765 ) / 1
LCM(256,7765) = 1987840 / 1
LCM(256,7765) = 1987840
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FAQs on GCF of Fractions of 1369/256, 2016/7765
1. What is the HCF of 1369,2016?
The HCF of 1369,2016 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 1369/256, 2016/7765?
Answer: GCF of Numerators as per given numbers 1369/256, 2016/7765 is
GCF of Numerators i.e. for 1369,2016 is 1
LCM of denominators i.e. for 256,7765 is 1987840.
Thus, GCF of Fractions is 1/1987840.Finally, GCF of Fractions for 1369/256, 2016/7765 is 1/1987840.