GCF of 3822/650, 4524/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3822/650, 4524/862 i.e 78/280150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3822/650, 4524/862.
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 3822/650,4524/862?
Given fractions are 3822/650,4524/862
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 3822/650,4524/862, numerators are 3822,4524
Denominators are 650,862
The GCF of 3822,4524 is 78 .
LCM of 650,862 is 280150.
The greatest common factor of 3822/650,4524/862 = [GCF of 3822,4524]/[LCM of 650,862]= 78/280150
Therefore, the GCF of 3822/650,4524/862 is 78/280150.
To find the highest common factor of 3822,4524, we have to find the factors of both numbers and list the highest common factor.
The factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822
The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524
The HCF of 3822,4524 is 78.
Lets's calculate GCF of 3822,4524
| 2 | 3822, 4524 |
| 3 | 1911, 2262 |
| 13 | 637, 754 |
| 49, 58 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 3822,4524 By Matching Biggest Common Factor Method
Now, list down the factors of 3822
:1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822
Now, list down the factors of 4524
:1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524
Greatest Common Factor
We found the factors 3822,4524 . The biggest common factor number is the GCF number.
So the greatest common factor 3822,4524 is 78.
Lets's calculate LCM of 650,862
| 2 | 650, 862 |
| 325, 431 |
∴ So the LCM of the given numbers is 2 x 325 x 431 = 280150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/280150
Therefore, the GCF of Fractions 3822/650,4524/862 is 78/280150
Least Common Multiple of 650,862 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 650,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,862) x common factors =2 x 1 = 2
LCM(650,862) = ( 650 × 862 ) / 2
LCM(650,862) = 560300 / 2
LCM(650,862) = 280150
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FAQs on GCF of Fractions of 3822/650, 4524/862
1. What is the HCF of 3822,4524?
The HCF of 3822,4524 is 78
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 3822/650, 4524/862?
Answer: GCF of Numerators as per given numbers 3822/650, 4524/862 is
GCF of Numerators i.e. for 3822,4524 is 78
LCM of denominators i.e. for 650,862 is 280150.
Thus, GCF of Fractions is 78/280150.Finally, GCF of Fractions for 3822/650, 4524/862 is 78/280150.