GCF of 174/152, 474/640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 174/152, 474/640 i.e 6/12160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/152, 474/640.
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 174/152,474/640?
Given fractions are 174/152,474/640
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 174/152,474/640, numerators are 174,474
Denominators are 152,640
The GCF of 174,474 is 6 .
LCM of 152,640 is 12160.
The greatest common factor of 174/152,474/640 = [GCF of 174,474]/[LCM of 152,640]= 6/12160
Therefore, the GCF of 174/152,474/640 is 6/12160.
To find the highest common factor of 174,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 174,474 is 6.
Lets's calculate GCF of 174,474
| 2 | 174, 474 |
| 3 | 87, 237 |
| 29, 79 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 174,474 By Matching Biggest Common Factor Method
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 174,474 . The biggest common factor number is the GCF number.
So the greatest common factor 174,474 is 6.
Lets's calculate LCM of 152,640
| 2 | 152, 640 |
| 2 | 76, 320 |
| 2 | 38, 160 |
| 19, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 80 = 12160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/12160
Therefore, the GCF of Fractions 174/152,474/640 is 6/12160
Least Common Multiple of 152,640 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 152,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,640) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(152,640) x common factors =8 x 1 = 8
LCM(152,640) = ( 152 × 640 ) / 8
LCM(152,640) = 97280 / 8
LCM(152,640) = 12160
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FAQs on GCF of Fractions of 174/152, 474/640
1. What is the HCF of 174,474?
The HCF of 174,474 is 6
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 174/152, 474/640?
Answer: GCF of Numerators as per given numbers 174/152, 474/640 is
GCF of Numerators i.e. for 174,474 is 6
LCM of denominators i.e. for 152,640 is 12160.
Thus, GCF of Fractions is 6/12160.Finally, GCF of Fractions for 174/152, 474/640 is 6/12160.