GCF of 154/22, 526/6881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 154/22, 526/6881 i.e 2/151382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/22, 526/6881.
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 154/22,526/6881?
Given fractions are 154/22,526/6881
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 154/22,526/6881, numerators are 154,526
Denominators are 22,6881
The GCF of 154,526 is 2 .
LCM of 22,6881 is 151382.
The greatest common factor of 154/22,526/6881 = [GCF of 154,526]/[LCM of 22,6881]= 2/151382
Therefore, the GCF of 154/22,526/6881 is 2/151382.
To find the highest common factor of 154,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The factors of 526 are 1, 2, 263, 526
The HCF of 154,526 is 2.
Lets's calculate GCF of 154,526
| 2 | 154, 526 |
| 77, 263 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 154,526 By Matching Biggest Common Factor Method
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 154,526 . The biggest common factor number is the GCF number.
So the greatest common factor 154,526 is 2.
Lets's calculate LCM of 22,6881
Given numbers has no common factors except 1. So, there LCM is their product i.e 151382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151382
Therefore, the GCF of Fractions 154/22,526/6881 is 2/151382
Least Common Multiple of 22,6881 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 22,6881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,6881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,6881) x common factors =1 x 1 = 1
LCM(22,6881) = ( 22 × 6881 ) / 1
LCM(22,6881) = 151382 / 1
LCM(22,6881) = 151382
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FAQs on GCF of Fractions of 154/22, 526/6881
1. What is the HCF of 154,526?
The HCF of 154,526 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 154/22, 526/6881?
Answer: GCF of Numerators as per given numbers 154/22, 526/6881 is
GCF of Numerators i.e. for 154,526 is 2
LCM of denominators i.e. for 22,6881 is 151382.
Thus, GCF of Fractions is 2/151382.Finally, GCF of Fractions for 154/22, 526/6881 is 2/151382.