GCF of 252/51, 892/91, 370/35
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 252/51, 892/91, 370/35 i.e 2/23205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/51, 892/91, 370/35.
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 252/51,892/91,370/35?
Given fractions are 252/51,892/91,370/35
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 252/51,892/91,370/35, numerators are 252,892,370
Denominators are 51,91,35
The GCF of 252,892,370 is 2 .
LCM of 51,91,35 is 23205.
The greatest common factor of 252/51,892/91,370/35 = [GCF of 252,892,370]/[LCM of 51,91,35]= 2/23205
Therefore, the GCF of 252/51,892/91,370/35 is 2/23205.
To find the highest common factor of 252,892,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 892 are 1, 2, 4, 223, 446, 892
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 252,892,370 is 2.
Lets's calculate GCF of 252,892,370
| 2 | 252, 892, 370 |
| 126, 446, 185 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 252,892,370 By Matching Biggest Common Factor Method
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
Now, list down the factors of 892
:1,2,4,223,446,892
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 252,892,370 . The biggest common factor number is the GCF number.
So the greatest common factor 252,892,370 is 2.
Lets's calculate LCM of 51,91,35
| 7 | 51, 91, 35 |
| 51, 13, 5 |
∴ So the LCM of the given numbers is 7 x 51 x 13 x 5 = 23205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23205
Therefore, the GCF of Fractions 252/51,892/91,370/35 is 2/23205
Least Common Multiple of 51,91,35 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 51,91,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,91,35) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(51,91,35) x common factors =1 x 7 = 7
LCM(51,91,35) = ( 51 × 91 × 35 ) / 7
LCM(51,91,35) = 162435 / 7
LCM(51,91,35) = 23205
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FAQs on GCF of Fractions of 252/51, 892/91, 370/35
1. What is the HCF of 252,892,370?
The HCF of 252,892,370 is 2
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 252/51, 892/91, 370/35?
Answer: GCF of Numerators as per given numbers 252/51, 892/91, 370/35 is
GCF of Numerators i.e. for 252,892,370 is 2
LCM of denominators i.e. for 51,91,35 is 23205.
Thus, GCF of Fractions is 2/23205.Finally, GCF of Fractions for 252/51, 892/91, 370/35 is 2/23205.