GCF of 3714/554, 4848/7155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3714/554, 4848/7155 i.e 6/3963870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3714/554, 4848/7155.
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 3714/554,4848/7155?
Given fractions are 3714/554,4848/7155
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 3714/554,4848/7155, numerators are 3714,4848
Denominators are 554,7155
The GCF of 3714,4848 is 6 .
LCM of 554,7155 is 3963870.
The greatest common factor of 3714/554,4848/7155 = [GCF of 3714,4848]/[LCM of 554,7155]= 6/3963870
Therefore, the GCF of 3714/554,4848/7155 is 6/3963870.
To find the highest common factor of 3714,4848, we have to find the factors of both numbers and list the highest common factor.
The factors of 3714 are 1, 2, 3, 6, 619, 1238, 1857, 3714
The factors of 4848 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 4848
The HCF of 3714,4848 is 6.
Lets's calculate GCF of 3714,4848
| 2 | 3714, 4848 |
| 3 | 1857, 2424 |
| 619, 808 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3714,4848 By Matching Biggest Common Factor Method
Now, list down the factors of 3714
:1,2,3,6,619,1238,1857,3714
Now, list down the factors of 4848
:1,2,3,4,6,8,12,16,24,48,101,202,303,404,606,808,1212,1616,2424,4848
Greatest Common Factor
We found the factors 3714,4848 . The biggest common factor number is the GCF number.
So the greatest common factor 3714,4848 is 6.
Lets's calculate LCM of 554,7155
Given numbers has no common factors except 1. So, there LCM is their product i.e 3963870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3963870
Therefore, the GCF of Fractions 3714/554,4848/7155 is 6/3963870
Least Common Multiple of 554,7155 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 554,7155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,7155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,7155) x common factors =1 x 1 = 1
LCM(554,7155) = ( 554 × 7155 ) / 1
LCM(554,7155) = 3963870 / 1
LCM(554,7155) = 3963870
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FAQs on GCF of Fractions of 3714/554, 4848/7155
1. What is the HCF of 3714,4848?
The HCF of 3714,4848 is 6
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 3714/554, 4848/7155?
Answer: GCF of Numerators as per given numbers 3714/554, 4848/7155 is
GCF of Numerators i.e. for 3714,4848 is 6
LCM of denominators i.e. for 554,7155 is 3963870.
Thus, GCF of Fractions is 6/3963870.Finally, GCF of Fractions for 3714/554, 4848/7155 is 6/3963870.