GCF of 776/84, 140/67, 246/381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 776/84, 140/67, 246/381 i.e 2/714756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/84, 140/67, 246/381.
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 776/84,140/67,246/381?
Given fractions are 776/84,140/67,246/381
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 776/84,140/67,246/381, numerators are 776,140,246
Denominators are 84,67,381
The GCF of 776,140,246 is 2 .
LCM of 84,67,381 is 714756.
The greatest common factor of 776/84,140/67,246/381 = [GCF of 776,140,246]/[LCM of 84,67,381]= 2/714756
Therefore, the GCF of 776/84,140/67,246/381 is 2/714756.
To find the highest common factor of 776,140,246, we have to find the factors of both numbers and list the highest common factor.
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The HCF of 776,140,246 is 2.
Lets's calculate GCF of 776,140,246
| 2 | 776, 140, 246 |
| 388, 70, 123 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 776,140,246 By Matching Biggest Common Factor Method
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 776,140,246 . The biggest common factor number is the GCF number.
So the greatest common factor 776,140,246 is 2.
Lets's calculate LCM of 84,67,381
| 3 | 84, 67, 381 |
| 28, 67, 127 |
∴ So the LCM of the given numbers is 3 x 28 x 67 x 127 = 714756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/714756
Therefore, the GCF of Fractions 776/84,140/67,246/381 is 2/714756
Least Common Multiple of 84,67,381 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 84,67,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,67,381) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(84,67,381) x common factors =1 x 3 = 3
LCM(84,67,381) = ( 84 × 67 × 381 ) / 3
LCM(84,67,381) = 2144268 / 3
LCM(84,67,381) = 714756
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FAQs on GCF of Fractions of 776/84, 140/67, 246/381
1. What is the HCF of 776,140,246?
The HCF of 776,140,246 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 776/84, 140/67, 246/381?
Answer: GCF of Numerators as per given numbers 776/84, 140/67, 246/381 is
GCF of Numerators i.e. for 776,140,246 is 2
LCM of denominators i.e. for 84,67,381 is 714756.
Thus, GCF of Fractions is 2/714756.Finally, GCF of Fractions for 776/84, 140/67, 246/381 is 2/714756.