GCF of 6946/553, 3796/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6946/553, 3796/767 i.e 2/424151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6946/553, 3796/767.
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 6946/553,3796/767?
Given fractions are 6946/553,3796/767
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 6946/553,3796/767, numerators are 6946,3796
Denominators are 553,767
The GCF of 6946,3796 is 2 .
LCM of 553,767 is 424151.
The greatest common factor of 6946/553,3796/767 = [GCF of 6946,3796]/[LCM of 553,767]= 2/424151
Therefore, the GCF of 6946/553,3796/767 is 2/424151.
To find the highest common factor of 6946,3796, we have to find the factors of both numbers and list the highest common factor.
The factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946
The factors of 3796 are 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796
The HCF of 6946,3796 is 2.
Lets's calculate GCF of 6946,3796
| 2 | 6946, 3796 |
| 3473, 1898 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6946,3796 By Matching Biggest Common Factor Method
Now, list down the factors of 6946
:1,2,23,46,151,302,3473,6946
Now, list down the factors of 3796
:1,2,4,13,26,52,73,146,292,949,1898,3796
Greatest Common Factor
We found the factors 6946,3796 . The biggest common factor number is the GCF number.
So the greatest common factor 6946,3796 is 2.
Lets's calculate LCM of 553,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 424151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/424151
Therefore, the GCF of Fractions 6946/553,3796/767 is 2/424151
Least Common Multiple of 553,767 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 553,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,767) x common factors =1 x 1 = 1
LCM(553,767) = ( 553 × 767 ) / 1
LCM(553,767) = 424151 / 1
LCM(553,767) = 424151
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FAQs on GCF of Fractions of 6946/553, 3796/767
1. What is the HCF of 6946,3796?
The HCF of 6946,3796 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 6946/553, 3796/767?
Answer: GCF of Numerators as per given numbers 6946/553, 3796/767 is
GCF of Numerators i.e. for 6946,3796 is 2
LCM of denominators i.e. for 553,767 is 424151.
Thus, GCF of Fractions is 2/424151.Finally, GCF of Fractions for 6946/553, 3796/767 is 2/424151.