GCF of 7169/972, 9780/6068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7169/972, 9780/6068 i.e 1/1474524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7169/972, 9780/6068.
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 7169/972,9780/6068?
Given fractions are 7169/972,9780/6068
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 7169/972,9780/6068, numerators are 7169,9780
Denominators are 972,6068
The GCF of 7169,9780 is 1 .
LCM of 972,6068 is 1474524.
The greatest common factor of 7169/972,9780/6068 = [GCF of 7169,9780]/[LCM of 972,6068]= 1/1474524
Therefore, the GCF of 7169/972,9780/6068 is 1/1474524.
To find the highest common factor of 7169,9780, we have to find the factors of both numbers and list the highest common factor.
The factors of 7169 are 1, 67, 107, 7169
The factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780
The HCF of 7169,9780 is 1.
Lets's calculate GCF of 7169,9780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7169,9780 By Matching Biggest Common Factor Method
Now, list down the factors of 7169
:1,67,107,7169
Now, list down the factors of 9780
:1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Greatest Common Factor
We found the factors 7169,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 7169,9780 is 1.
Lets's calculate LCM of 972,6068
| 2 | 972, 6068 |
| 2 | 486, 3034 |
| 243, 1517 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 1517 = 1474524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1474524
Therefore, the GCF of Fractions 7169/972,9780/6068 is 1/1474524
Least Common Multiple of 972,6068 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 972,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,6068) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,6068) x common factors =4 x 1 = 4
LCM(972,6068) = ( 972 × 6068 ) / 4
LCM(972,6068) = 5898096 / 4
LCM(972,6068) = 1474524
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FAQs on GCF of Fractions of 7169/972, 9780/6068
1. What is the HCF of 7169,9780?
The HCF of 7169,9780 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 7169/972, 9780/6068?
Answer: GCF of Numerators as per given numbers 7169/972, 9780/6068 is
GCF of Numerators i.e. for 7169,9780 is 1
LCM of denominators i.e. for 972,6068 is 1474524.
Thus, GCF of Fractions is 1/1474524.Finally, GCF of Fractions for 7169/972, 9780/6068 is 1/1474524.