GCF of 4269/512, 5070/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4269/512, 5070/682 i.e 3/174592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4269/512, 5070/682.
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 4269/512,5070/682?
Given fractions are 4269/512,5070/682
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 4269/512,5070/682, numerators are 4269,5070
Denominators are 512,682
The GCF of 4269,5070 is 3 .
LCM of 512,682 is 174592.
The greatest common factor of 4269/512,5070/682 = [GCF of 4269,5070]/[LCM of 512,682]= 3/174592
Therefore, the GCF of 4269/512,5070/682 is 3/174592.
To find the highest common factor of 4269,5070, we have to find the factors of both numbers and list the highest common factor.
The factors of 4269 are 1, 3, 1423, 4269
The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
The HCF of 4269,5070 is 3.
Lets's calculate GCF of 4269,5070
| 3 | 4269, 5070 |
| 1423, 1690 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4269,5070 By Matching Biggest Common Factor Method
Now, list down the factors of 4269
:1,3,1423,4269
Now, list down the factors of 5070
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Greatest Common Factor
We found the factors 4269,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 4269,5070 is 3.
Lets's calculate LCM of 512,682
| 2 | 512, 682 |
| 256, 341 |
∴ So the LCM of the given numbers is 2 x 256 x 341 = 174592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/174592
Therefore, the GCF of Fractions 4269/512,5070/682 is 3/174592
Least Common Multiple of 512,682 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 512,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,682) x common factors =2 x 1 = 2
LCM(512,682) = ( 512 × 682 ) / 2
LCM(512,682) = 349184 / 2
LCM(512,682) = 174592
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FAQs on GCF of Fractions of 4269/512, 5070/682
1. What is the HCF of 4269,5070?
The HCF of 4269,5070 is 3
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 4269/512, 5070/682?
Answer: GCF of Numerators as per given numbers 4269/512, 5070/682 is
GCF of Numerators i.e. for 4269,5070 is 3
LCM of denominators i.e. for 512,682 is 174592.
Thus, GCF of Fractions is 3/174592.Finally, GCF of Fractions for 4269/512, 5070/682 is 3/174592.