GCF of 958/10, 308/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 958/10, 308/972 i.e 2/4860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/10, 308/972.
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 958/10,308/972?
Given fractions are 958/10,308/972
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 958/10,308/972, numerators are 958,308
Denominators are 10,972
The GCF of 958,308 is 2 .
LCM of 10,972 is 4860.
The greatest common factor of 958/10,308/972 = [GCF of 958,308]/[LCM of 10,972]= 2/4860
Therefore, the GCF of 958/10,308/972 is 2/4860.
To find the highest common factor of 958,308, we have to find the factors of both numbers and list the highest common factor.
The factors of 958 are 1, 2, 479, 958
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 958,308 is 2.
Lets's calculate GCF of 958,308
| 2 | 958, 308 |
| 479, 154 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 958,308 By Matching Biggest Common Factor Method
Now, list down the factors of 958
:1,2,479,958
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 958,308 . The biggest common factor number is the GCF number.
So the greatest common factor 958,308 is 2.
Lets's calculate LCM of 10,972
| 2 | 10, 972 |
| 5, 486 |
∴ So the LCM of the given numbers is 2 x 5 x 486 = 4860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4860
Therefore, the GCF of Fractions 958/10,308/972 is 2/4860
Least Common Multiple of 10,972 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 10,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,972) x common factors =2 x 1 = 2
LCM(10,972) = ( 10 × 972 ) / 2
LCM(10,972) = 9720 / 2
LCM(10,972) = 4860
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FAQs on GCF of Fractions of 958/10, 308/972
1. What is the HCF of 958,308?
The HCF of 958,308 is 2
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 958/10, 308/972?
Answer: GCF of Numerators as per given numbers 958/10, 308/972 is
GCF of Numerators i.e. for 958,308 is 2
LCM of denominators i.e. for 10,972 is 4860.
Thus, GCF of Fractions is 2/4860.Finally, GCF of Fractions for 958/10, 308/972 is 2/4860.