GCF of 6822/781, 6294/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6822/781, 6294/214 i.e 6/167134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6822/781, 6294/214.
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 6822/781,6294/214?
Given fractions are 6822/781,6294/214
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 6822/781,6294/214, numerators are 6822,6294
Denominators are 781,214
The GCF of 6822,6294 is 6 .
LCM of 781,214 is 167134.
The greatest common factor of 6822/781,6294/214 = [GCF of 6822,6294]/[LCM of 781,214]= 6/167134
Therefore, the GCF of 6822/781,6294/214 is 6/167134.
To find the highest common factor of 6822,6294, we have to find the factors of both numbers and list the highest common factor.
The factors of 6822 are 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822
The factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294
The HCF of 6822,6294 is 6.
Lets's calculate GCF of 6822,6294
| 2 | 6822, 6294 |
| 3 | 3411, 3147 |
| 1137, 1049 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6822,6294 By Matching Biggest Common Factor Method
Now, list down the factors of 6822
:1,2,3,6,9,18,379,758,1137,2274,3411,6822
Now, list down the factors of 6294
:1,2,3,6,1049,2098,3147,6294
Greatest Common Factor
We found the factors 6822,6294 . The biggest common factor number is the GCF number.
So the greatest common factor 6822,6294 is 6.
Lets's calculate LCM of 781,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 167134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/167134
Therefore, the GCF of Fractions 6822/781,6294/214 is 6/167134
Least Common Multiple of 781,214 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 781,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,214) x common factors =1 x 1 = 1
LCM(781,214) = ( 781 × 214 ) / 1
LCM(781,214) = 167134 / 1
LCM(781,214) = 167134
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FAQs on GCF of Fractions of 6822/781, 6294/214
1. What is the HCF of 6822,6294?
The HCF of 6822,6294 is 6
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 6822/781, 6294/214?
Answer: GCF of Numerators as per given numbers 6822/781, 6294/214 is
GCF of Numerators i.e. for 6822,6294 is 6
LCM of denominators i.e. for 781,214 is 167134.
Thus, GCF of Fractions is 6/167134.Finally, GCF of Fractions for 6822/781, 6294/214 is 6/167134.