GCF of 7675/596, 5980/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7675/596, 5980/314 i.e 5/93572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7675/596, 5980/314.
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 7675/596,5980/314?
Given fractions are 7675/596,5980/314
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 7675/596,5980/314, numerators are 7675,5980
Denominators are 596,314
The GCF of 7675,5980 is 5 .
LCM of 596,314 is 93572.
The greatest common factor of 7675/596,5980/314 = [GCF of 7675,5980]/[LCM of 596,314]= 5/93572
Therefore, the GCF of 7675/596,5980/314 is 5/93572.
To find the highest common factor of 7675,5980, we have to find the factors of both numbers and list the highest common factor.
The factors of 7675 are 1, 5, 25, 307, 1535, 7675
The factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
The HCF of 7675,5980 is 5.
Lets's calculate GCF of 7675,5980
| 5 | 7675, 5980 |
| 1535, 1196 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7675,5980 By Matching Biggest Common Factor Method
Now, list down the factors of 7675
:1,5,25,307,1535,7675
Now, list down the factors of 5980
:1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980
Greatest Common Factor
We found the factors 7675,5980 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,5980 is 5.
Lets's calculate LCM of 596,314
| 2 | 596, 314 |
| 298, 157 |
∴ So the LCM of the given numbers is 2 x 298 x 157 = 93572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/93572
Therefore, the GCF of Fractions 7675/596,5980/314 is 5/93572
Least Common Multiple of 596,314 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 596,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,314) x common factors =2 x 1 = 2
LCM(596,314) = ( 596 × 314 ) / 2
LCM(596,314) = 187144 / 2
LCM(596,314) = 93572
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FAQs on GCF of Fractions of 7675/596, 5980/314
1. What is the HCF of 7675,5980?
The HCF of 7675,5980 is 5
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 7675/596, 5980/314?
Answer: GCF of Numerators as per given numbers 7675/596, 5980/314 is
GCF of Numerators i.e. for 7675,5980 is 5
LCM of denominators i.e. for 596,314 is 93572.
Thus, GCF of Fractions is 5/93572.Finally, GCF of Fractions for 7675/596, 5980/314 is 5/93572.