GCF of 964/40, 754/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 964/40, 754/142 i.e 2/2840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/40, 754/142.
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 964/40,754/142?
Given fractions are 964/40,754/142
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 964/40,754/142, numerators are 964,754
Denominators are 40,142
The GCF of 964,754 is 2 .
LCM of 40,142 is 2840.
The greatest common factor of 964/40,754/142 = [GCF of 964,754]/[LCM of 40,142]= 2/2840
Therefore, the GCF of 964/40,754/142 is 2/2840.
To find the highest common factor of 964,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 964 are 1, 2, 4, 241, 482, 964
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 964,754 is 2.
Lets's calculate GCF of 964,754
| 2 | 964, 754 |
| 482, 377 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 964,754 By Matching Biggest Common Factor Method
Now, list down the factors of 964
:1,2,4,241,482,964
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 964,754 . The biggest common factor number is the GCF number.
So the greatest common factor 964,754 is 2.
Lets's calculate LCM of 40,142
| 2 | 40, 142 |
| 20, 71 |
∴ So the LCM of the given numbers is 2 x 20 x 71 = 2840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2840
Therefore, the GCF of Fractions 964/40,754/142 is 2/2840
Least Common Multiple of 40,142 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 40,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,142) x common factors =2 x 1 = 2
LCM(40,142) = ( 40 × 142 ) / 2
LCM(40,142) = 5680 / 2
LCM(40,142) = 2840
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FAQs on GCF of Fractions of 964/40, 754/142
1. What is the HCF of 964,754?
The HCF of 964,754 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 964/40, 754/142?
Answer: GCF of Numerators as per given numbers 964/40, 754/142 is
GCF of Numerators i.e. for 964,754 is 2
LCM of denominators i.e. for 40,142 is 2840.
Thus, GCF of Fractions is 2/2840.Finally, GCF of Fractions for 964/40, 754/142 is 2/2840.