GCF of 948/87, 314/323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 948/87, 314/323 i.e 2/28101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/87, 314/323.
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 948/87,314/323?
Given fractions are 948/87,314/323
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 948/87,314/323, numerators are 948,314
Denominators are 87,323
The GCF of 948,314 is 2 .
LCM of 87,323 is 28101.
The greatest common factor of 948/87,314/323 = [GCF of 948,314]/[LCM of 87,323]= 2/28101
Therefore, the GCF of 948/87,314/323 is 2/28101.
To find the highest common factor of 948,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 314 are 1, 2, 157, 314
The HCF of 948,314 is 2.
Lets's calculate GCF of 948,314
| 2 | 948, 314 |
| 474, 157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 948,314 By Matching Biggest Common Factor Method
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 948,314 . The biggest common factor number is the GCF number.
So the greatest common factor 948,314 is 2.
Lets's calculate LCM of 87,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 28101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28101
Therefore, the GCF of Fractions 948/87,314/323 is 2/28101
Least Common Multiple of 87,323 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 87,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,323) x common factors =1 x 1 = 1
LCM(87,323) = ( 87 × 323 ) / 1
LCM(87,323) = 28101 / 1
LCM(87,323) = 28101
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FAQs on GCF of Fractions of 948/87, 314/323
1. What is the HCF of 948,314?
The HCF of 948,314 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 948/87, 314/323?
Answer: GCF of Numerators as per given numbers 948/87, 314/323 is
GCF of Numerators i.e. for 948,314 is 2
LCM of denominators i.e. for 87,323 is 28101.
Thus, GCF of Fractions is 2/28101.Finally, GCF of Fractions for 948/87, 314/323 is 2/28101.