GCF of 6852/191, 2560/4169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6852/191, 2560/4169 i.e 4/796279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6852/191, 2560/4169.
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 6852/191,2560/4169?
Given fractions are 6852/191,2560/4169
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 6852/191,2560/4169, numerators are 6852,2560
Denominators are 191,4169
The GCF of 6852,2560 is 4 .
LCM of 191,4169 is 796279.
The greatest common factor of 6852/191,2560/4169 = [GCF of 6852,2560]/[LCM of 191,4169]= 4/796279
Therefore, the GCF of 6852/191,2560/4169 is 4/796279.
To find the highest common factor of 6852,2560, we have to find the factors of both numbers and list the highest common factor.
The factors of 6852 are 1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852
The factors of 2560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560
The HCF of 6852,2560 is 4.
Lets's calculate GCF of 6852,2560
| 2 | 6852, 2560 |
| 2 | 3426, 1280 |
| 1713, 640 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6852,2560 By Matching Biggest Common Factor Method
Now, list down the factors of 6852
:1,2,3,4,6,12,571,1142,1713,2284,3426,6852
Now, list down the factors of 2560
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560
Greatest Common Factor
We found the factors 6852,2560 . The biggest common factor number is the GCF number.
So the greatest common factor 6852,2560 is 4.
Lets's calculate LCM of 191,4169
Given numbers has no common factors except 1. So, there LCM is their product i.e 796279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/796279
Therefore, the GCF of Fractions 6852/191,2560/4169 is 4/796279
Least Common Multiple of 191,4169 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 191,4169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,4169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,4169) x common factors =1 x 1 = 1
LCM(191,4169) = ( 191 × 4169 ) / 1
LCM(191,4169) = 796279 / 1
LCM(191,4169) = 796279
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FAQs on GCF of Fractions of 6852/191, 2560/4169
1. What is the HCF of 6852,2560?
The HCF of 6852,2560 is 4
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 6852/191, 2560/4169?
Answer: GCF of Numerators as per given numbers 6852/191, 2560/4169 is
GCF of Numerators i.e. for 6852,2560 is 4
LCM of denominators i.e. for 191,4169 is 796279.
Thus, GCF of Fractions is 4/796279.Finally, GCF of Fractions for 6852/191, 2560/4169 is 4/796279.