GCF of 6658/256, 3768/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6658/256, 3768/974 i.e 2/124672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6658/256, 3768/974.
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 6658/256,3768/974?
Given fractions are 6658/256,3768/974
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 6658/256,3768/974, numerators are 6658,3768
Denominators are 256,974
The GCF of 6658,3768 is 2 .
LCM of 256,974 is 124672.
The greatest common factor of 6658/256,3768/974 = [GCF of 6658,3768]/[LCM of 256,974]= 2/124672
Therefore, the GCF of 6658/256,3768/974 is 2/124672.
To find the highest common factor of 6658,3768, we have to find the factors of both numbers and list the highest common factor.
The factors of 6658 are 1, 2, 3329, 6658
The factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768
The HCF of 6658,3768 is 2.
Lets's calculate GCF of 6658,3768
| 2 | 6658, 3768 |
| 3329, 1884 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6658,3768 By Matching Biggest Common Factor Method
Now, list down the factors of 6658
:1,2,3329,6658
Now, list down the factors of 3768
:1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768
Greatest Common Factor
We found the factors 6658,3768 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,3768 is 2.
Lets's calculate LCM of 256,974
| 2 | 256, 974 |
| 128, 487 |
∴ So the LCM of the given numbers is 2 x 128 x 487 = 124672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124672
Therefore, the GCF of Fractions 6658/256,3768/974 is 2/124672
Least Common Multiple of 256,974 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 256,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,974) x common factors =2 x 1 = 2
LCM(256,974) = ( 256 × 974 ) / 2
LCM(256,974) = 249344 / 2
LCM(256,974) = 124672
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FAQs on GCF of Fractions of 6658/256, 3768/974
1. What is the HCF of 6658,3768?
The HCF of 6658,3768 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 6658/256, 3768/974?
Answer: GCF of Numerators as per given numbers 6658/256, 3768/974 is
GCF of Numerators i.e. for 6658,3768 is 2
LCM of denominators i.e. for 256,974 is 124672.
Thus, GCF of Fractions is 2/124672.Finally, GCF of Fractions for 6658/256, 3768/974 is 2/124672.