GCF of 2496/869, 1022/4479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2496/869, 1022/4479 i.e 2/3892251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2496/869, 1022/4479.
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 2496/869,1022/4479?
Given fractions are 2496/869,1022/4479
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 2496/869,1022/4479, numerators are 2496,1022
Denominators are 869,4479
The GCF of 2496,1022 is 2 .
LCM of 869,4479 is 3892251.
The greatest common factor of 2496/869,1022/4479 = [GCF of 2496,1022]/[LCM of 869,4479]= 2/3892251
Therefore, the GCF of 2496/869,1022/4479 is 2/3892251.
To find the highest common factor of 2496,1022, we have to find the factors of both numbers and list the highest common factor.
The factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The HCF of 2496,1022 is 2.
Lets's calculate GCF of 2496,1022
| 2 | 2496, 1022 |
| 1248, 511 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2496,1022 By Matching Biggest Common Factor Method
Now, list down the factors of 2496
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Greatest Common Factor
We found the factors 2496,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 2496,1022 is 2.
Lets's calculate LCM of 869,4479
Given numbers has no common factors except 1. So, there LCM is their product i.e 3892251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3892251
Therefore, the GCF of Fractions 2496/869,1022/4479 is 2/3892251
Least Common Multiple of 869,4479 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 869,4479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,4479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,4479) x common factors =1 x 1 = 1
LCM(869,4479) = ( 869 × 4479 ) / 1
LCM(869,4479) = 3892251 / 1
LCM(869,4479) = 3892251
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2496/869, 1022/4479
1. What is the HCF of 2496,1022?
The HCF of 2496,1022 is 2
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 2496/869, 1022/4479?
Answer: GCF of Numerators as per given numbers 2496/869, 1022/4479 is
GCF of Numerators i.e. for 2496,1022 is 2
LCM of denominators i.e. for 869,4479 is 3892251.
Thus, GCF of Fractions is 2/3892251.Finally, GCF of Fractions for 2496/869, 1022/4479 is 2/3892251.