GCF of 186/970, 252/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 186/970, 252/748 i.e 6/362780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 186/970, 252/748.
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 186/970,252/748?
Given fractions are 186/970,252/748
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 186/970,252/748, numerators are 186,252
Denominators are 970,748
The GCF of 186,252 is 6 .
LCM of 970,748 is 362780.
The greatest common factor of 186/970,252/748 = [GCF of 186,252]/[LCM of 970,748]= 6/362780
Therefore, the GCF of 186/970,252/748 is 6/362780.
To find the highest common factor of 186,252, we have to find the factors of both numbers and list the highest common factor.
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The HCF of 186,252 is 6.
Lets's calculate GCF of 186,252
| 2 | 186, 252 |
| 3 | 93, 126 |
| 31, 42 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 186,252 By Matching Biggest Common Factor Method
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 186,252 . The biggest common factor number is the GCF number.
So the greatest common factor 186,252 is 6.
Lets's calculate LCM of 970,748
| 2 | 970, 748 |
| 485, 374 |
∴ So the LCM of the given numbers is 2 x 485 x 374 = 362780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/362780
Therefore, the GCF of Fractions 186/970,252/748 is 6/362780
Least Common Multiple of 970,748 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 970,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,748) x common factors =2 x 1 = 2
LCM(970,748) = ( 970 × 748 ) / 2
LCM(970,748) = 725560 / 2
LCM(970,748) = 362780
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FAQs on GCF of Fractions of 186/970, 252/748
1. What is the HCF of 186,252?
The HCF of 186,252 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 186/970, 252/748?
Answer: GCF of Numerators as per given numbers 186/970, 252/748 is
GCF of Numerators i.e. for 186,252 is 6
LCM of denominators i.e. for 970,748 is 362780.
Thus, GCF of Fractions is 6/362780.Finally, GCF of Fractions for 186/970, 252/748 is 6/362780.