GCF of 7467/402, 9170/252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7467/402, 9170/252 i.e 131/16884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7467/402, 9170/252.
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 7467/402,9170/252?
Given fractions are 7467/402,9170/252
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 7467/402,9170/252, numerators are 7467,9170
Denominators are 402,252
The GCF of 7467,9170 is 131 .
LCM of 402,252 is 16884.
The greatest common factor of 7467/402,9170/252 = [GCF of 7467,9170]/[LCM of 402,252]= 131/16884
Therefore, the GCF of 7467/402,9170/252 is 131/16884.
To find the highest common factor of 7467,9170, we have to find the factors of both numbers and list the highest common factor.
The factors of 7467 are 1, 3, 19, 57, 131, 393, 2489, 7467
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The HCF of 7467,9170 is 131.
Lets's calculate GCF of 7467,9170
| 131 | 7467, 9170 |
| 57, 70 |
∴ So the GCF of the given numbers is 131 = 131
Greatest Common Factor of 7467,9170 By Matching Biggest Common Factor Method
Now, list down the factors of 7467
:1,3,19,57,131,393,2489,7467
Now, list down the factors of 9170
:1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Greatest Common Factor
We found the factors 7467,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 7467,9170 is 131.
Lets's calculate LCM of 402,252
| 2 | 402, 252 |
| 3 | 201, 126 |
| 67, 42 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 42 = 16884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/16884
Therefore, the GCF of Fractions 7467/402,9170/252 is 131/16884
Least Common Multiple of 402,252 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 402,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,252) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,252) x common factors =6 x 1 = 6
LCM(402,252) = ( 402 × 252 ) / 6
LCM(402,252) = 101304 / 6
LCM(402,252) = 16884
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FAQs on GCF of Fractions of 7467/402, 9170/252
1. What is the HCF of 7467,9170?
The HCF of 7467,9170 is 131
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 7467/402, 9170/252?
Answer: GCF of Numerators as per given numbers 7467/402, 9170/252 is
GCF of Numerators i.e. for 7467,9170 is 131
LCM of denominators i.e. for 402,252 is 16884.
Thus, GCF of Fractions is 131/16884.Finally, GCF of Fractions for 7467/402, 9170/252 is 131/16884.