GCF of 174/525, 1896/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 174/525, 1896/774 i.e 6/135450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/525, 1896/774.
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 174/525,1896/774?
Given fractions are 174/525,1896/774
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 174/525,1896/774, numerators are 174,1896
Denominators are 525,774
The GCF of 174,1896 is 6 .
LCM of 525,774 is 135450.
The greatest common factor of 174/525,1896/774 = [GCF of 174,1896]/[LCM of 525,774]= 6/135450
Therefore, the GCF of 174/525,1896/774 is 6/135450.
To find the highest common factor of 174,1896, 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 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The HCF of 174,1896 is 6.
Lets's calculate GCF of 174,1896
| 2 | 174, 1896 |
| 3 | 87, 948 |
| 29, 316 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 174,1896 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 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 174,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 174,1896 is 6.
Lets's calculate LCM of 525,774
| 3 | 525, 774 |
| 175, 258 |
∴ So the LCM of the given numbers is 3 x 175 x 258 = 135450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/135450
Therefore, the GCF of Fractions 174/525,1896/774 is 6/135450
Least Common Multiple of 525,774 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 525,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,774) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(525,774) x common factors =3 x 1 = 3
LCM(525,774) = ( 525 × 774 ) / 3
LCM(525,774) = 406350 / 3
LCM(525,774) = 135450
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FAQs on GCF of Fractions of 174/525, 1896/774
1. What is the HCF of 174,1896?
The HCF of 174,1896 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 174/525, 1896/774?
Answer: GCF of Numerators as per given numbers 174/525, 1896/774 is
GCF of Numerators i.e. for 174,1896 is 6
LCM of denominators i.e. for 525,774 is 135450.
Thus, GCF of Fractions is 6/135450.Finally, GCF of Fractions for 174/525, 1896/774 is 6/135450.