GCF of 5983/754, 1572/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5983/754, 1572/358 i.e 1/134966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5983/754, 1572/358.
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 5983/754,1572/358?
Given fractions are 5983/754,1572/358
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 5983/754,1572/358, numerators are 5983,1572
Denominators are 754,358
The GCF of 5983,1572 is 1 .
LCM of 754,358 is 134966.
The greatest common factor of 5983/754,1572/358 = [GCF of 5983,1572]/[LCM of 754,358]= 1/134966
Therefore, the GCF of 5983/754,1572/358 is 1/134966.
To find the highest common factor of 5983,1572, we have to find the factors of both numbers and list the highest common factor.
The factors of 5983 are 1, 31, 193, 5983
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The HCF of 5983,1572 is 1.
Lets's calculate GCF of 5983,1572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5983,1572 By Matching Biggest Common Factor Method
Now, list down the factors of 5983
:1,31,193,5983
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Greatest Common Factor
We found the factors 5983,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 5983,1572 is 1.
Lets's calculate LCM of 754,358
| 2 | 754, 358 |
| 377, 179 |
∴ So the LCM of the given numbers is 2 x 377 x 179 = 134966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134966
Therefore, the GCF of Fractions 5983/754,1572/358 is 1/134966
Least Common Multiple of 754,358 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 754,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,358) x common factors =2 x 1 = 2
LCM(754,358) = ( 754 × 358 ) / 2
LCM(754,358) = 269932 / 2
LCM(754,358) = 134966
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FAQs on GCF of Fractions of 5983/754, 1572/358
1. What is the HCF of 5983,1572?
The HCF of 5983,1572 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 5983/754, 1572/358?
Answer: GCF of Numerators as per given numbers 5983/754, 1572/358 is
GCF of Numerators i.e. for 5983,1572 is 1
LCM of denominators i.e. for 754,358 is 134966.
Thus, GCF of Fractions is 1/134966.Finally, GCF of Fractions for 5983/754, 1572/358 is 1/134966.