GCF of 958/56, 735/14, 829/65
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 958/56, 735/14, 829/65 i.e 1/3640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/56, 735/14, 829/65.
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 958/56,735/14,829/65?
Given fractions are 958/56,735/14,829/65
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 958/56,735/14,829/65, numerators are 958,735,829
Denominators are 56,14,65
The GCF of 958,735,829 is 1 .
LCM of 56,14,65 is 3640.
The greatest common factor of 958/56,735/14,829/65 = [GCF of 958,735,829]/[LCM of 56,14,65]= 1/3640
Therefore, the GCF of 958/56,735/14,829/65 is 1/3640.
To find the highest common factor of 958,735,829, 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 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The factors of 829 are 1, 829
The HCF of 958,735,829 is 1.
Lets's calculate GCF of 958,735,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 958,735,829 By Matching Biggest Common Factor Method
Now, list down the factors of 958
:1,2,479,958
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Now, list down the factors of 829
:1,829
Greatest Common Factor
We found the factors 958,735,829 . The biggest common factor number is the GCF number.
So the greatest common factor 958,735,829 is 1.
Lets's calculate LCM of 56,14,65
| 2 | 56, 14, 65 |
| 7 | 28, 7, 65 |
| 4, 1, 65 |
∴ So the LCM of the given numbers is 2 x 7 x 4 x 1 x 65 = 3640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3640
Therefore, the GCF of Fractions 958/56,735/14,829/65 is 1/3640
Least Common Multiple of 56,14,65 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 56,14,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,14,65) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(56,14,65) x common factors =1 x 14 = 14
LCM(56,14,65) = ( 56 × 14 × 65 ) / 14
LCM(56,14,65) = 50960 / 14
LCM(56,14,65) = 3640
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FAQs on GCF of Fractions of 958/56, 735/14, 829/65
1. What is the HCF of 958,735,829?
The HCF of 958,735,829 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 958/56, 735/14, 829/65?
Answer: GCF of Numerators as per given numbers 958/56, 735/14, 829/65 is
GCF of Numerators i.e. for 958,735,829 is 1
LCM of denominators i.e. for 56,14,65 is 3640.
Thus, GCF of Fractions is 1/3640.Finally, GCF of Fractions for 958/56, 735/14, 829/65 is 1/3640.