GCF of 3842/624, 7066/5848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3842/624, 7066/5848 i.e 2/456144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3842/624, 7066/5848.
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 3842/624,7066/5848?
Given fractions are 3842/624,7066/5848
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 3842/624,7066/5848, numerators are 3842,7066
Denominators are 624,5848
The GCF of 3842,7066 is 2 .
LCM of 624,5848 is 456144.
The greatest common factor of 3842/624,7066/5848 = [GCF of 3842,7066]/[LCM of 624,5848]= 2/456144
Therefore, the GCF of 3842/624,7066/5848 is 2/456144.
To find the highest common factor of 3842,7066, we have to find the factors of both numbers and list the highest common factor.
The factors of 3842 are 1, 2, 17, 34, 113, 226, 1921, 3842
The factors of 7066 are 1, 2, 3533, 7066
The HCF of 3842,7066 is 2.
Lets's calculate GCF of 3842,7066
| 2 | 3842, 7066 |
| 1921, 3533 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3842,7066 By Matching Biggest Common Factor Method
Now, list down the factors of 3842
:1,2,17,34,113,226,1921,3842
Now, list down the factors of 7066
:1,2,3533,7066
Greatest Common Factor
We found the factors 3842,7066 . The biggest common factor number is the GCF number.
So the greatest common factor 3842,7066 is 2.
Lets's calculate LCM of 624,5848
| 2 | 624, 5848 |
| 2 | 312, 2924 |
| 2 | 156, 1462 |
| 78, 731 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 78 x 731 = 456144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/456144
Therefore, the GCF of Fractions 3842/624,7066/5848 is 2/456144
Least Common Multiple of 624,5848 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 624,5848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5848) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5848) x common factors =8 x 1 = 8
LCM(624,5848) = ( 624 × 5848 ) / 8
LCM(624,5848) = 3649152 / 8
LCM(624,5848) = 456144
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FAQs on GCF of Fractions of 3842/624, 7066/5848
1. What is the HCF of 3842,7066?
The HCF of 3842,7066 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 3842/624, 7066/5848?
Answer: GCF of Numerators as per given numbers 3842/624, 7066/5848 is
GCF of Numerators i.e. for 3842,7066 is 2
LCM of denominators i.e. for 624,5848 is 456144.
Thus, GCF of Fractions is 2/456144.Finally, GCF of Fractions for 3842/624, 7066/5848 is 2/456144.