GCF of 5372/602, 1424/9163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5372/602, 1424/9163 i.e 4/788018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5372/602, 1424/9163.
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 5372/602,1424/9163?
Given fractions are 5372/602,1424/9163
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 5372/602,1424/9163, numerators are 5372,1424
Denominators are 602,9163
The GCF of 5372,1424 is 4 .
LCM of 602,9163 is 788018.
The greatest common factor of 5372/602,1424/9163 = [GCF of 5372,1424]/[LCM of 602,9163]= 4/788018
Therefore, the GCF of 5372/602,1424/9163 is 4/788018.
To find the highest common factor of 5372,1424, we have to find the factors of both numbers and list the highest common factor.
The factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372
The factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424
The HCF of 5372,1424 is 4.
Lets's calculate GCF of 5372,1424
| 2 | 5372, 1424 |
| 2 | 2686, 712 |
| 1343, 356 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5372,1424 By Matching Biggest Common Factor Method
Now, list down the factors of 5372
:1,2,4,17,34,68,79,158,316,1343,2686,5372
Now, list down the factors of 1424
:1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 5372,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 5372,1424 is 4.
Lets's calculate LCM of 602,9163
| 7 | 602, 9163 |
| 86, 1309 |
∴ So the LCM of the given numbers is 7 x 86 x 1309 = 788018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/788018
Therefore, the GCF of Fractions 5372/602,1424/9163 is 4/788018
Least Common Multiple of 602,9163 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 602,9163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,9163) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(602,9163) x common factors =7 x 1 = 7
LCM(602,9163) = ( 602 × 9163 ) / 7
LCM(602,9163) = 5516126 / 7
LCM(602,9163) = 788018
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FAQs on GCF of Fractions of 5372/602, 1424/9163
1. What is the HCF of 5372,1424?
The HCF of 5372,1424 is 4
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 5372/602, 1424/9163?
Answer: GCF of Numerators as per given numbers 5372/602, 1424/9163 is
GCF of Numerators i.e. for 5372,1424 is 4
LCM of denominators i.e. for 602,9163 is 788018.
Thus, GCF of Fractions is 4/788018.Finally, GCF of Fractions for 5372/602, 1424/9163 is 4/788018.