GCF of 154/217, 6072/7086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 154/217, 6072/7086 i.e 22/1537662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/217, 6072/7086.
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 154/217,6072/7086?
Given fractions are 154/217,6072/7086
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 154/217,6072/7086, numerators are 154,6072
Denominators are 217,7086
The GCF of 154,6072 is 22 .
LCM of 217,7086 is 1537662.
The greatest common factor of 154/217,6072/7086 = [GCF of 154,6072]/[LCM of 217,7086]= 22/1537662
Therefore, the GCF of 154/217,6072/7086 is 22/1537662.
To find the highest common factor of 154,6072, 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 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072
The HCF of 154,6072 is 22.
Lets's calculate GCF of 154,6072
| 2 | 154, 6072 |
| 11 | 77, 3036 |
| 7, 276 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 154,6072 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 6072
:1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Greatest Common Factor
We found the factors 154,6072 . The biggest common factor number is the GCF number.
So the greatest common factor 154,6072 is 22.
Lets's calculate LCM of 217,7086
Given numbers has no common factors except 1. So, there LCM is their product i.e 1537662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1537662
Therefore, the GCF of Fractions 154/217,6072/7086 is 22/1537662
Least Common Multiple of 217,7086 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 217,7086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,7086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,7086) x common factors =1 x 1 = 1
LCM(217,7086) = ( 217 × 7086 ) / 1
LCM(217,7086) = 1537662 / 1
LCM(217,7086) = 1537662
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FAQs on GCF of Fractions of 154/217, 6072/7086
1. What is the HCF of 154,6072?
The HCF of 154,6072 is 22
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 154/217, 6072/7086?
Answer: GCF of Numerators as per given numbers 154/217, 6072/7086 is
GCF of Numerators i.e. for 154,6072 is 22
LCM of denominators i.e. for 217,7086 is 1537662.
Thus, GCF of Fractions is 22/1537662.Finally, GCF of Fractions for 154/217, 6072/7086 is 22/1537662.