GCF of 1071/159, 5370/4646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1071/159, 5370/4646 i.e 3/738714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1071/159, 5370/4646.
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 1071/159,5370/4646?
Given fractions are 1071/159,5370/4646
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 1071/159,5370/4646, numerators are 1071,5370
Denominators are 159,4646
The GCF of 1071,5370 is 3 .
LCM of 159,4646 is 738714.
The greatest common factor of 1071/159,5370/4646 = [GCF of 1071,5370]/[LCM of 159,4646]= 3/738714
Therefore, the GCF of 1071/159,5370/4646 is 3/738714.
To find the highest common factor of 1071,5370, we have to find the factors of both numbers and list the highest common factor.
The factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
The HCF of 1071,5370 is 3.
Lets's calculate GCF of 1071,5370
| 3 | 1071, 5370 |
| 357, 1790 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1071,5370 By Matching Biggest Common Factor Method
Now, list down the factors of 1071
:1,3,7,9,17,21,51,63,119,153,357,1071
Now, list down the factors of 5370
:1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Greatest Common Factor
We found the factors 1071,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 1071,5370 is 3.
Lets's calculate LCM of 159,4646
Given numbers has no common factors except 1. So, there LCM is their product i.e 738714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/738714
Therefore, the GCF of Fractions 1071/159,5370/4646 is 3/738714
Least Common Multiple of 159,4646 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 159,4646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,4646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,4646) x common factors =1 x 1 = 1
LCM(159,4646) = ( 159 × 4646 ) / 1
LCM(159,4646) = 738714 / 1
LCM(159,4646) = 738714
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FAQs on GCF of Fractions of 1071/159, 5370/4646
1. What is the HCF of 1071,5370?
The HCF of 1071,5370 is 3
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 1071/159, 5370/4646?
Answer: GCF of Numerators as per given numbers 1071/159, 5370/4646 is
GCF of Numerators i.e. for 1071,5370 is 3
LCM of denominators i.e. for 159,4646 is 738714.
Thus, GCF of Fractions is 3/738714.Finally, GCF of Fractions for 1071/159, 5370/4646 is 3/738714.