GCF of 151/174, 2970/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 151/174, 2970/412 i.e 1/35844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 151/174, 2970/412.
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 151/174,2970/412?
Given fractions are 151/174,2970/412
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 151/174,2970/412, numerators are 151,2970
Denominators are 174,412
The GCF of 151,2970 is 1 .
LCM of 174,412 is 35844.
The greatest common factor of 151/174,2970/412 = [GCF of 151,2970]/[LCM of 174,412]= 1/35844
Therefore, the GCF of 151/174,2970/412 is 1/35844.
To find the highest common factor of 151,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 151 are 1, 151
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The HCF of 151,2970 is 1.
Lets's calculate GCF of 151,2970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 151,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 151
:1,151
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 151,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 151,2970 is 1.
Lets's calculate LCM of 174,412
| 2 | 174, 412 |
| 87, 206 |
∴ So the LCM of the given numbers is 2 x 87 x 206 = 35844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35844
Therefore, the GCF of Fractions 151/174,2970/412 is 1/35844
Least Common Multiple of 174,412 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 174,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,412) x common factors =2 x 1 = 2
LCM(174,412) = ( 174 × 412 ) / 2
LCM(174,412) = 71688 / 2
LCM(174,412) = 35844
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FAQs on GCF of Fractions of 151/174, 2970/412
1. What is the HCF of 151,2970?
The HCF of 151,2970 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 151/174, 2970/412?
Answer: GCF of Numerators as per given numbers 151/174, 2970/412 is
GCF of Numerators i.e. for 151,2970 is 1
LCM of denominators i.e. for 174,412 is 35844.
Thus, GCF of Fractions is 1/35844.Finally, GCF of Fractions for 151/174, 2970/412 is 1/35844.