GCF of 1021/167, 5920/4128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1021/167, 5920/4128 i.e 1/689376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1021/167, 5920/4128.
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 1021/167,5920/4128?
Given fractions are 1021/167,5920/4128
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 1021/167,5920/4128, numerators are 1021,5920
Denominators are 167,4128
The GCF of 1021,5920 is 1 .
LCM of 167,4128 is 689376.
The greatest common factor of 1021/167,5920/4128 = [GCF of 1021,5920]/[LCM of 167,4128]= 1/689376
Therefore, the GCF of 1021/167,5920/4128 is 1/689376.
To find the highest common factor of 1021,5920, we have to find the factors of both numbers and list the highest common factor.
The factors of 1021 are 1, 1021
The factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920
The HCF of 1021,5920 is 1.
Lets's calculate GCF of 1021,5920
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1021,5920 By Matching Biggest Common Factor Method
Now, list down the factors of 1021
:1,1021
Now, list down the factors of 5920
:1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920
Greatest Common Factor
We found the factors 1021,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 1021,5920 is 1.
Lets's calculate LCM of 167,4128
Given numbers has no common factors except 1. So, there LCM is their product i.e 689376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689376
Therefore, the GCF of Fractions 1021/167,5920/4128 is 1/689376
Least Common Multiple of 167,4128 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 167,4128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,4128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,4128) x common factors =1 x 1 = 1
LCM(167,4128) = ( 167 × 4128 ) / 1
LCM(167,4128) = 689376 / 1
LCM(167,4128) = 689376
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FAQs on GCF of Fractions of 1021/167, 5920/4128
1. What is the HCF of 1021,5920?
The HCF of 1021,5920 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 1021/167, 5920/4128?
Answer: GCF of Numerators as per given numbers 1021/167, 5920/4128 is
GCF of Numerators i.e. for 1021,5920 is 1
LCM of denominators i.e. for 167,4128 is 689376.
Thus, GCF of Fractions is 1/689376.Finally, GCF of Fractions for 1021/167, 5920/4128 is 1/689376.