GCF of 7652/425, 7376/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7652/425, 7376/239 i.e 4/101575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7652/425, 7376/239.
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 7652/425,7376/239?
Given fractions are 7652/425,7376/239
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 7652/425,7376/239, numerators are 7652,7376
Denominators are 425,239
The GCF of 7652,7376 is 4 .
LCM of 425,239 is 101575.
The greatest common factor of 7652/425,7376/239 = [GCF of 7652,7376]/[LCM of 425,239]= 4/101575
Therefore, the GCF of 7652/425,7376/239 is 4/101575.
To find the highest common factor of 7652,7376, we have to find the factors of both numbers and list the highest common factor.
The factors of 7652 are 1, 2, 4, 1913, 3826, 7652
The factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376
The HCF of 7652,7376 is 4.
Lets's calculate GCF of 7652,7376
| 2 | 7652, 7376 |
| 2 | 3826, 3688 |
| 1913, 1844 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7652,7376 By Matching Biggest Common Factor Method
Now, list down the factors of 7652
:1,2,4,1913,3826,7652
Now, list down the factors of 7376
:1,2,4,8,16,461,922,1844,3688,7376
Greatest Common Factor
We found the factors 7652,7376 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,7376 is 4.
Lets's calculate LCM of 425,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 101575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/101575
Therefore, the GCF of Fractions 7652/425,7376/239 is 4/101575
Least Common Multiple of 425,239 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 425,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,239) x common factors =1 x 1 = 1
LCM(425,239) = ( 425 × 239 ) / 1
LCM(425,239) = 101575 / 1
LCM(425,239) = 101575
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FAQs on GCF of Fractions of 7652/425, 7376/239
1. What is the HCF of 7652,7376?
The HCF of 7652,7376 is 4
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 7652/425, 7376/239?
Answer: GCF of Numerators as per given numbers 7652/425, 7376/239 is
GCF of Numerators i.e. for 7652,7376 is 4
LCM of denominators i.e. for 425,239 is 101575.
Thus, GCF of Fractions is 4/101575.Finally, GCF of Fractions for 7652/425, 7376/239 is 4/101575.