GCF of 6908/596, 4100/6974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6908/596, 4100/6974 i.e 4/2078252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6908/596, 4100/6974.
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 6908/596,4100/6974?
Given fractions are 6908/596,4100/6974
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 6908/596,4100/6974, numerators are 6908,4100
Denominators are 596,6974
The GCF of 6908,4100 is 4 .
LCM of 596,6974 is 2078252.
The greatest common factor of 6908/596,4100/6974 = [GCF of 6908,4100]/[LCM of 596,6974]= 4/2078252
Therefore, the GCF of 6908/596,4100/6974 is 4/2078252.
To find the highest common factor of 6908,4100, we have to find the factors of both numbers and list the highest common factor.
The factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908
The factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100
The HCF of 6908,4100 is 4.
Lets's calculate GCF of 6908,4100
| 2 | 6908, 4100 |
| 2 | 3454, 2050 |
| 1727, 1025 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6908,4100 By Matching Biggest Common Factor Method
Now, list down the factors of 6908
:1,2,4,11,22,44,157,314,628,1727,3454,6908
Now, list down the factors of 4100
:1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100
Greatest Common Factor
We found the factors 6908,4100 . The biggest common factor number is the GCF number.
So the greatest common factor 6908,4100 is 4.
Lets's calculate LCM of 596,6974
| 2 | 596, 6974 |
| 298, 3487 |
∴ So the LCM of the given numbers is 2 x 298 x 3487 = 2078252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2078252
Therefore, the GCF of Fractions 6908/596,4100/6974 is 4/2078252
Least Common Multiple of 596,6974 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 596,6974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,6974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,6974) x common factors =2 x 1 = 2
LCM(596,6974) = ( 596 × 6974 ) / 2
LCM(596,6974) = 4156504 / 2
LCM(596,6974) = 2078252
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FAQs on GCF of Fractions of 6908/596, 4100/6974
1. What is the HCF of 6908,4100?
The HCF of 6908,4100 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 6908/596, 4100/6974?
Answer: GCF of Numerators as per given numbers 6908/596, 4100/6974 is
GCF of Numerators i.e. for 6908,4100 is 4
LCM of denominators i.e. for 596,6974 is 2078252.
Thus, GCF of Fractions is 4/2078252.Finally, GCF of Fractions for 6908/596, 4100/6974 is 4/2078252.