GCF of 4668/168, 3752/8410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4668/168, 3752/8410 i.e 4/706440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4668/168, 3752/8410.
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 4668/168,3752/8410?
Given fractions are 4668/168,3752/8410
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 4668/168,3752/8410, numerators are 4668,3752
Denominators are 168,8410
The GCF of 4668,3752 is 4 .
LCM of 168,8410 is 706440.
The greatest common factor of 4668/168,3752/8410 = [GCF of 4668,3752]/[LCM of 168,8410]= 4/706440
Therefore, the GCF of 4668/168,3752/8410 is 4/706440.
To find the highest common factor of 4668,3752, we have to find the factors of both numbers and list the highest common factor.
The factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668
The factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752
The HCF of 4668,3752 is 4.
Lets's calculate GCF of 4668,3752
| 2 | 4668, 3752 |
| 2 | 2334, 1876 |
| 1167, 938 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4668,3752 By Matching Biggest Common Factor Method
Now, list down the factors of 4668
:1,2,3,4,6,12,389,778,1167,1556,2334,4668
Now, list down the factors of 3752
:1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Greatest Common Factor
We found the factors 4668,3752 . The biggest common factor number is the GCF number.
So the greatest common factor 4668,3752 is 4.
Lets's calculate LCM of 168,8410
| 2 | 168, 8410 |
| 84, 4205 |
∴ So the LCM of the given numbers is 2 x 84 x 4205 = 706440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/706440
Therefore, the GCF of Fractions 4668/168,3752/8410 is 4/706440
Least Common Multiple of 168,8410 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 168,8410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,8410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,8410) x common factors =2 x 1 = 2
LCM(168,8410) = ( 168 × 8410 ) / 2
LCM(168,8410) = 1412880 / 2
LCM(168,8410) = 706440
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FAQs on GCF of Fractions of 4668/168, 3752/8410
1. What is the HCF of 4668,3752?
The HCF of 4668,3752 is 4
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 4668/168, 3752/8410?
Answer: GCF of Numerators as per given numbers 4668/168, 3752/8410 is
GCF of Numerators i.e. for 4668,3752 is 4
LCM of denominators i.e. for 168,8410 is 706440.
Thus, GCF of Fractions is 4/706440.Finally, GCF of Fractions for 4668/168, 3752/8410 is 4/706440.