GCF of 176/156, 426/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 176/156, 426/845 i.e 2/10140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/156, 426/845.
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 176/156,426/845?
Given fractions are 176/156,426/845
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 176/156,426/845, numerators are 176,426
Denominators are 156,845
The GCF of 176,426 is 2 .
LCM of 156,845 is 10140.
The greatest common factor of 176/156,426/845 = [GCF of 176,426]/[LCM of 156,845]= 2/10140
Therefore, the GCF of 176/156,426/845 is 2/10140.
To find the highest common factor of 176,426, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The HCF of 176,426 is 2.
Lets's calculate GCF of 176,426
| 2 | 176, 426 |
| 88, 213 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 176,426 By Matching Biggest Common Factor Method
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 176,426 . The biggest common factor number is the GCF number.
So the greatest common factor 176,426 is 2.
Lets's calculate LCM of 156,845
| 13 | 156, 845 |
| 12, 65 |
∴ So the LCM of the given numbers is 13 x 12 x 65 = 10140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10140
Therefore, the GCF of Fractions 176/156,426/845 is 2/10140
Least Common Multiple of 156,845 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 156,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,845) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(156,845) x common factors =13 x 1 = 13
LCM(156,845) = ( 156 × 845 ) / 13
LCM(156,845) = 131820 / 13
LCM(156,845) = 10140
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FAQs on GCF of Fractions of 176/156, 426/845
1. What is the HCF of 176,426?
The HCF of 176,426 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 176/156, 426/845?
Answer: GCF of Numerators as per given numbers 176/156, 426/845 is
GCF of Numerators i.e. for 176,426 is 2
LCM of denominators i.e. for 156,845 is 10140.
Thus, GCF of Fractions is 2/10140.Finally, GCF of Fractions for 176/156, 426/845 is 2/10140.