GCF of 3500/856, 3067/1156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3500/856, 3067/1156 i.e 1/247384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3500/856, 3067/1156.
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 3500/856,3067/1156?
Given fractions are 3500/856,3067/1156
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 3500/856,3067/1156, numerators are 3500,3067
Denominators are 856,1156
The GCF of 3500,3067 is 1 .
LCM of 856,1156 is 247384.
The greatest common factor of 3500/856,3067/1156 = [GCF of 3500,3067]/[LCM of 856,1156]= 1/247384
Therefore, the GCF of 3500/856,3067/1156 is 1/247384.
To find the highest common factor of 3500,3067, we have to find the factors of both numbers and list the highest common factor.
The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500
The factors of 3067 are 1, 3067
The HCF of 3500,3067 is 1.
Lets's calculate GCF of 3500,3067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3500,3067 By Matching Biggest Common Factor Method
Now, list down the factors of 3500
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500
Now, list down the factors of 3067
:1,3067
Greatest Common Factor
We found the factors 3500,3067 . The biggest common factor number is the GCF number.
So the greatest common factor 3500,3067 is 1.
Lets's calculate LCM of 856,1156
| 2 | 856, 1156 |
| 2 | 428, 578 |
| 214, 289 |
∴ So the LCM of the given numbers is 2 x 2 x 214 x 289 = 247384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247384
Therefore, the GCF of Fractions 3500/856,3067/1156 is 1/247384
Least Common Multiple of 856,1156 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 856,1156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,1156) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(856,1156) x common factors =4 x 1 = 4
LCM(856,1156) = ( 856 × 1156 ) / 4
LCM(856,1156) = 989536 / 4
LCM(856,1156) = 247384
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FAQs on GCF of Fractions of 3500/856, 3067/1156
1. What is the HCF of 3500,3067?
The HCF of 3500,3067 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 3500/856, 3067/1156?
Answer: GCF of Numerators as per given numbers 3500/856, 3067/1156 is
GCF of Numerators i.e. for 3500,3067 is 1
LCM of denominators i.e. for 856,1156 is 247384.
Thus, GCF of Fractions is 1/247384.Finally, GCF of Fractions for 3500/856, 3067/1156 is 1/247384.