GCF of 7474/609, 8325/8521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7474/609, 8325/8521 i.e 37/5189289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7474/609, 8325/8521.
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 7474/609,8325/8521?
Given fractions are 7474/609,8325/8521
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 7474/609,8325/8521, numerators are 7474,8325
Denominators are 609,8521
The GCF of 7474,8325 is 37 .
LCM of 609,8521 is 5189289.
The greatest common factor of 7474/609,8325/8521 = [GCF of 7474,8325]/[LCM of 609,8521]= 37/5189289
Therefore, the GCF of 7474/609,8325/8521 is 37/5189289.
To find the highest common factor of 7474,8325, we have to find the factors of both numbers and list the highest common factor.
The factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474
The factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325
The HCF of 7474,8325 is 37.
Lets's calculate GCF of 7474,8325
| 37 | 7474, 8325 |
| 202, 225 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 7474,8325 By Matching Biggest Common Factor Method
Now, list down the factors of 7474
:1,2,37,74,101,202,3737,7474
Now, list down the factors of 8325
:1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325
Greatest Common Factor
We found the factors 7474,8325 . The biggest common factor number is the GCF number.
So the greatest common factor 7474,8325 is 37.
Lets's calculate LCM of 609,8521
Given numbers has no common factors except 1. So, there LCM is their product i.e 5189289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/5189289
Therefore, the GCF of Fractions 7474/609,8325/8521 is 37/5189289
Least Common Multiple of 609,8521 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 609,8521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,8521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,8521) x common factors =1 x 1 = 1
LCM(609,8521) = ( 609 × 8521 ) / 1
LCM(609,8521) = 5189289 / 1
LCM(609,8521) = 5189289
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FAQs on GCF of Fractions of 7474/609, 8325/8521
1. What is the HCF of 7474,8325?
The HCF of 7474,8325 is 37
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 7474/609, 8325/8521?
Answer: GCF of Numerators as per given numbers 7474/609, 8325/8521 is
GCF of Numerators i.e. for 7474,8325 is 37
LCM of denominators i.e. for 609,8521 is 5189289.
Thus, GCF of Fractions is 37/5189289.Finally, GCF of Fractions for 7474/609, 8325/8521 is 37/5189289.