GCF of 3822/309, 7522/3608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3822/309, 7522/3608 i.e 2/1114872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3822/309, 7522/3608.
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 3822/309,7522/3608?
Given fractions are 3822/309,7522/3608
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 3822/309,7522/3608, numerators are 3822,7522
Denominators are 309,3608
The GCF of 3822,7522 is 2 .
LCM of 309,3608 is 1114872.
The greatest common factor of 3822/309,7522/3608 = [GCF of 3822,7522]/[LCM of 309,3608]= 2/1114872
Therefore, the GCF of 3822/309,7522/3608 is 2/1114872.
To find the highest common factor of 3822,7522, 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 7522 are 1, 2, 3761, 7522
The HCF of 3822,7522 is 2.
Lets's calculate GCF of 3822,7522
| 2 | 3822, 7522 |
| 1911, 3761 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3822,7522 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 7522
:1,2,3761,7522
Greatest Common Factor
We found the factors 3822,7522 . The biggest common factor number is the GCF number.
So the greatest common factor 3822,7522 is 2.
Lets's calculate LCM of 309,3608
Given numbers has no common factors except 1. So, there LCM is their product i.e 1114872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1114872
Therefore, the GCF of Fractions 3822/309,7522/3608 is 2/1114872
Least Common Multiple of 309,3608 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 309,3608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,3608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,3608) x common factors =1 x 1 = 1
LCM(309,3608) = ( 309 × 3608 ) / 1
LCM(309,3608) = 1114872 / 1
LCM(309,3608) = 1114872
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FAQs on GCF of Fractions of 3822/309, 7522/3608
1. What is the HCF of 3822,7522?
The HCF of 3822,7522 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 3822/309, 7522/3608?
Answer: GCF of Numerators as per given numbers 3822/309, 7522/3608 is
GCF of Numerators i.e. for 3822,7522 is 2
LCM of denominators i.e. for 309,3608 is 1114872.
Thus, GCF of Fractions is 2/1114872.Finally, GCF of Fractions for 3822/309, 7522/3608 is 2/1114872.