GCF of 346/927, 6747/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 346/927, 6747/902 i.e 173/836154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 346/927, 6747/902.
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 346/927,6747/902?
Given fractions are 346/927,6747/902
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 346/927,6747/902, numerators are 346,6747
Denominators are 927,902
The GCF of 346,6747 is 173 .
LCM of 927,902 is 836154.
The greatest common factor of 346/927,6747/902 = [GCF of 346,6747]/[LCM of 927,902]= 173/836154
Therefore, the GCF of 346/927,6747/902 is 173/836154.
To find the highest common factor of 346,6747, we have to find the factors of both numbers and list the highest common factor.
The factors of 346 are 1, 2, 173, 346
The factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747
The HCF of 346,6747 is 173.
Lets's calculate GCF of 346,6747
| 173 | 346, 6747 |
| 2, 39 |
∴ So the GCF of the given numbers is 173 = 173
Greatest Common Factor of 346,6747 By Matching Biggest Common Factor Method
Now, list down the factors of 346
:1,2,173,346
Now, list down the factors of 6747
:1,3,13,39,173,519,2249,6747
Greatest Common Factor
We found the factors 346,6747 . The biggest common factor number is the GCF number.
So the greatest common factor 346,6747 is 173.
Lets's calculate LCM of 927,902
Given numbers has no common factors except 1. So, there LCM is their product i.e 836154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 173/836154
Therefore, the GCF of Fractions 346/927,6747/902 is 173/836154
Least Common Multiple of 927,902 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 927,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,902) x common factors =1 x 1 = 1
LCM(927,902) = ( 927 × 902 ) / 1
LCM(927,902) = 836154 / 1
LCM(927,902) = 836154
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FAQs on GCF of Fractions of 346/927, 6747/902
1. What is the HCF of 346,6747?
The HCF of 346,6747 is 173
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 346/927, 6747/902?
Answer: GCF of Numerators as per given numbers 346/927, 6747/902 is
GCF of Numerators i.e. for 346,6747 is 173
LCM of denominators i.e. for 927,902 is 836154.
Thus, GCF of Fractions is 173/836154.Finally, GCF of Fractions for 346/927, 6747/902 is 173/836154.