GCF of 2869/669, 7524/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2869/669, 7524/493 i.e 19/329817 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2869/669, 7524/493.
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 2869/669,7524/493?
Given fractions are 2869/669,7524/493
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 2869/669,7524/493, numerators are 2869,7524
Denominators are 669,493
The GCF of 2869,7524 is 19 .
LCM of 669,493 is 329817.
The greatest common factor of 2869/669,7524/493 = [GCF of 2869,7524]/[LCM of 669,493]= 19/329817
Therefore, the GCF of 2869/669,7524/493 is 19/329817.
To find the highest common factor of 2869,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 2869 are 1, 19, 151, 2869
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The HCF of 2869,7524 is 19.
Lets's calculate GCF of 2869,7524
| 19 | 2869, 7524 |
| 151, 396 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 2869,7524 By Matching Biggest Common Factor Method
Now, list down the factors of 2869
:1,19,151,2869
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Greatest Common Factor
We found the factors 2869,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 2869,7524 is 19.
Lets's calculate LCM of 669,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 329817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/329817
Therefore, the GCF of Fractions 2869/669,7524/493 is 19/329817
Least Common Multiple of 669,493 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 669,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,493) x common factors =1 x 1 = 1
LCM(669,493) = ( 669 × 493 ) / 1
LCM(669,493) = 329817 / 1
LCM(669,493) = 329817
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FAQs on GCF of Fractions of 2869/669, 7524/493
1. What is the HCF of 2869,7524?
The HCF of 2869,7524 is 19
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 2869/669, 7524/493?
Answer: GCF of Numerators as per given numbers 2869/669, 7524/493 is
GCF of Numerators i.e. for 2869,7524 is 19
LCM of denominators i.e. for 669,493 is 329817.
Thus, GCF of Fractions is 19/329817.Finally, GCF of Fractions for 2869/669, 7524/493 is 19/329817.