GCF of 301/142, 696/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 301/142, 696/312 i.e 1/22152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/142, 696/312.
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 301/142,696/312?
Given fractions are 301/142,696/312
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 301/142,696/312, numerators are 301,696
Denominators are 142,312
The GCF of 301,696 is 1 .
LCM of 142,312 is 22152.
The greatest common factor of 301/142,696/312 = [GCF of 301,696]/[LCM of 142,312]= 1/22152
Therefore, the GCF of 301/142,696/312 is 1/22152.
To find the highest common factor of 301,696, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The HCF of 301,696 is 1.
Lets's calculate GCF of 301,696
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 301,696 By Matching Biggest Common Factor Method
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 301,696 . The biggest common factor number is the GCF number.
So the greatest common factor 301,696 is 1.
Lets's calculate LCM of 142,312
| 2 | 142, 312 |
| 71, 156 |
∴ So the LCM of the given numbers is 2 x 71 x 156 = 22152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22152
Therefore, the GCF of Fractions 301/142,696/312 is 1/22152
Least Common Multiple of 142,312 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 142,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,312) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,312) x common factors =2 x 1 = 2
LCM(142,312) = ( 142 × 312 ) / 2
LCM(142,312) = 44304 / 2
LCM(142,312) = 22152
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FAQs on GCF of Fractions of 301/142, 696/312
1. What is the HCF of 301,696?
The HCF of 301,696 is 1
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 301/142, 696/312?
Answer: GCF of Numerators as per given numbers 301/142, 696/312 is
GCF of Numerators i.e. for 301,696 is 1
LCM of denominators i.e. for 142,312 is 22152.
Thus, GCF of Fractions is 1/22152.Finally, GCF of Fractions for 301/142, 696/312 is 1/22152.