GCF of 2445/975, 7172/246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2445/975, 7172/246 i.e 163/79950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2445/975, 7172/246.
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 2445/975,7172/246?
Given fractions are 2445/975,7172/246
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 2445/975,7172/246, numerators are 2445,7172
Denominators are 975,246
The GCF of 2445,7172 is 163 .
LCM of 975,246 is 79950.
The greatest common factor of 2445/975,7172/246 = [GCF of 2445,7172]/[LCM of 975,246]= 163/79950
Therefore, the GCF of 2445/975,7172/246 is 163/79950.
To find the highest common factor of 2445,7172, we have to find the factors of both numbers and list the highest common factor.
The factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445
The factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172
The HCF of 2445,7172 is 163.
Lets's calculate GCF of 2445,7172
| 163 | 2445, 7172 |
| 15, 44 |
∴ So the GCF of the given numbers is 163 = 163
Greatest Common Factor of 2445,7172 By Matching Biggest Common Factor Method
Now, list down the factors of 2445
:1,3,5,15,163,489,815,2445
Now, list down the factors of 7172
:1,2,4,11,22,44,163,326,652,1793,3586,7172
Greatest Common Factor
We found the factors 2445,7172 . The biggest common factor number is the GCF number.
So the greatest common factor 2445,7172 is 163.
Lets's calculate LCM of 975,246
| 3 | 975, 246 |
| 325, 82 |
∴ So the LCM of the given numbers is 3 x 325 x 82 = 79950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/79950
Therefore, the GCF of Fractions 2445/975,7172/246 is 163/79950
Least Common Multiple of 975,246 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 975,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,246) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,246) x common factors =3 x 1 = 3
LCM(975,246) = ( 975 × 246 ) / 3
LCM(975,246) = 239850 / 3
LCM(975,246) = 79950
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FAQs on GCF of Fractions of 2445/975, 7172/246
1. What is the HCF of 2445,7172?
The HCF of 2445,7172 is 163
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 2445/975, 7172/246?
Answer: GCF of Numerators as per given numbers 2445/975, 7172/246 is
GCF of Numerators i.e. for 2445,7172 is 163
LCM of denominators i.e. for 975,246 is 79950.
Thus, GCF of Fractions is 163/79950.Finally, GCF of Fractions for 2445/975, 7172/246 is 163/79950.