GCF of 6776/724, 3141/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6776/724, 3141/434 i.e 1/157108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6776/724, 3141/434.
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 6776/724,3141/434?
Given fractions are 6776/724,3141/434
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 6776/724,3141/434, numerators are 6776,3141
Denominators are 724,434
The GCF of 6776,3141 is 1 .
LCM of 724,434 is 157108.
The greatest common factor of 6776/724,3141/434 = [GCF of 6776,3141]/[LCM of 724,434]= 1/157108
Therefore, the GCF of 6776/724,3141/434 is 1/157108.
To find the highest common factor of 6776,3141, we have to find the factors of both numbers and list the highest common factor.
The factors of 6776 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776
The factors of 3141 are 1, 3, 9, 349, 1047, 3141
The HCF of 6776,3141 is 1.
Lets's calculate GCF of 6776,3141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6776,3141 By Matching Biggest Common Factor Method
Now, list down the factors of 6776
:1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776
Now, list down the factors of 3141
:1,3,9,349,1047,3141
Greatest Common Factor
We found the factors 6776,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 6776,3141 is 1.
Lets's calculate LCM of 724,434
| 2 | 724, 434 |
| 362, 217 |
∴ So the LCM of the given numbers is 2 x 362 x 217 = 157108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157108
Therefore, the GCF of Fractions 6776/724,3141/434 is 1/157108
Least Common Multiple of 724,434 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 724,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,434) x common factors =2 x 1 = 2
LCM(724,434) = ( 724 × 434 ) / 2
LCM(724,434) = 314216 / 2
LCM(724,434) = 157108
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FAQs on GCF of Fractions of 6776/724, 3141/434
1. What is the HCF of 6776,3141?
The HCF of 6776,3141 is 1
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 6776/724, 3141/434?
Answer: GCF of Numerators as per given numbers 6776/724, 3141/434 is
GCF of Numerators i.e. for 6776,3141 is 1
LCM of denominators i.e. for 724,434 is 157108.
Thus, GCF of Fractions is 1/157108.Finally, GCF of Fractions for 6776/724, 3141/434 is 1/157108.