GCF of 8056/429, 7840/8059
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8056/429, 7840/8059 i.e 8/3457311 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8056/429, 7840/8059.
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 8056/429,7840/8059?
Given fractions are 8056/429,7840/8059
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 8056/429,7840/8059, numerators are 8056,7840
Denominators are 429,8059
The GCF of 8056,7840 is 8 .
LCM of 429,8059 is 3457311.
The greatest common factor of 8056/429,7840/8059 = [GCF of 8056,7840]/[LCM of 429,8059]= 8/3457311
Therefore, the GCF of 8056/429,7840/8059 is 8/3457311.
To find the highest common factor of 8056,7840, we have to find the factors of both numbers and list the highest common factor.
The factors of 8056 are 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056
The factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840
The HCF of 8056,7840 is 8.
Lets's calculate GCF of 8056,7840
| 2 | 8056, 7840 |
| 2 | 4028, 3920 |
| 2 | 2014, 1960 |
| 1007, 980 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8056,7840 By Matching Biggest Common Factor Method
Now, list down the factors of 8056
:1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056
Now, list down the factors of 7840
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Greatest Common Factor
We found the factors 8056,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 8056,7840 is 8.
Lets's calculate LCM of 429,8059
Given numbers has no common factors except 1. So, there LCM is their product i.e 3457311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3457311
Therefore, the GCF of Fractions 8056/429,7840/8059 is 8/3457311
Least Common Multiple of 429,8059 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 429,8059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,8059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,8059) x common factors =1 x 1 = 1
LCM(429,8059) = ( 429 × 8059 ) / 1
LCM(429,8059) = 3457311 / 1
LCM(429,8059) = 3457311
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FAQs on GCF of Fractions of 8056/429, 7840/8059
1. What is the HCF of 8056,7840?
The HCF of 8056,7840 is 8
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 8056/429, 7840/8059?
Answer: GCF of Numerators as per given numbers 8056/429, 7840/8059 is
GCF of Numerators i.e. for 8056,7840 is 8
LCM of denominators i.e. for 429,8059 is 3457311.
Thus, GCF of Fractions is 8/3457311.Finally, GCF of Fractions for 8056/429, 7840/8059 is 8/3457311.