GCF of 154/28, 736/4709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 154/28, 736/4709 i.e 2/131852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/28, 736/4709.
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 154/28,736/4709?
Given fractions are 154/28,736/4709
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 154/28,736/4709, numerators are 154,736
Denominators are 28,4709
The GCF of 154,736 is 2 .
LCM of 28,4709 is 131852.
The greatest common factor of 154/28,736/4709 = [GCF of 154,736]/[LCM of 28,4709]= 2/131852
Therefore, the GCF of 154/28,736/4709 is 2/131852.
To find the highest common factor of 154,736, 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 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 154,736 is 2.
Lets's calculate GCF of 154,736
| 2 | 154, 736 |
| 77, 368 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 154,736 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 736
:1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 154,736 . The biggest common factor number is the GCF number.
So the greatest common factor 154,736 is 2.
Lets's calculate LCM of 28,4709
Given numbers has no common factors except 1. So, there LCM is their product i.e 131852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131852
Therefore, the GCF of Fractions 154/28,736/4709 is 2/131852
Least Common Multiple of 28,4709 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 28,4709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,4709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,4709) x common factors =1 x 1 = 1
LCM(28,4709) = ( 28 × 4709 ) / 1
LCM(28,4709) = 131852 / 1
LCM(28,4709) = 131852
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FAQs on GCF of Fractions of 154/28, 736/4709
1. What is the HCF of 154,736?
The HCF of 154,736 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 154/28, 736/4709?
Answer: GCF of Numerators as per given numbers 154/28, 736/4709 is
GCF of Numerators i.e. for 154,736 is 2
LCM of denominators i.e. for 28,4709 is 131852.
Thus, GCF of Fractions is 2/131852.Finally, GCF of Fractions for 154/28, 736/4709 is 2/131852.