GCF of 7532/418, 3357/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7532/418, 3357/306 i.e 1/63954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7532/418, 3357/306.
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 7532/418,3357/306?
Given fractions are 7532/418,3357/306
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 7532/418,3357/306, numerators are 7532,3357
Denominators are 418,306
The GCF of 7532,3357 is 1 .
LCM of 418,306 is 63954.
The greatest common factor of 7532/418,3357/306 = [GCF of 7532,3357]/[LCM of 418,306]= 1/63954
Therefore, the GCF of 7532/418,3357/306 is 1/63954.
To find the highest common factor of 7532,3357, we have to find the factors of both numbers and list the highest common factor.
The factors of 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532
The factors of 3357 are 1, 3, 9, 373, 1119, 3357
The HCF of 7532,3357 is 1.
Lets's calculate GCF of 7532,3357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7532,3357 By Matching Biggest Common Factor Method
Now, list down the factors of 7532
:1,2,4,7,14,28,269,538,1076,1883,3766,7532
Now, list down the factors of 3357
:1,3,9,373,1119,3357
Greatest Common Factor
We found the factors 7532,3357 . The biggest common factor number is the GCF number.
So the greatest common factor 7532,3357 is 1.
Lets's calculate LCM of 418,306
| 2 | 418, 306 |
| 209, 153 |
∴ So the LCM of the given numbers is 2 x 209 x 153 = 63954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63954
Therefore, the GCF of Fractions 7532/418,3357/306 is 1/63954
Least Common Multiple of 418,306 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 418,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,306) x common factors =2 x 1 = 2
LCM(418,306) = ( 418 × 306 ) / 2
LCM(418,306) = 127908 / 2
LCM(418,306) = 63954
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FAQs on GCF of Fractions of 7532/418, 3357/306
1. What is the HCF of 7532,3357?
The HCF of 7532,3357 is 1
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 7532/418, 3357/306?
Answer: GCF of Numerators as per given numbers 7532/418, 3357/306 is
GCF of Numerators i.e. for 7532,3357 is 1
LCM of denominators i.e. for 418,306 is 63954.
Thus, GCF of Fractions is 1/63954.Finally, GCF of Fractions for 7532/418, 3357/306 is 1/63954.