GCF of 6570/219, 9948/5497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6570/219, 9948/5497 i.e 6/1203843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6570/219, 9948/5497.
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 6570/219,9948/5497?
Given fractions are 6570/219,9948/5497
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 6570/219,9948/5497, numerators are 6570,9948
Denominators are 219,5497
The GCF of 6570,9948 is 6 .
LCM of 219,5497 is 1203843.
The greatest common factor of 6570/219,9948/5497 = [GCF of 6570,9948]/[LCM of 219,5497]= 6/1203843
Therefore, the GCF of 6570/219,9948/5497 is 6/1203843.
To find the highest common factor of 6570,9948, we have to find the factors of both numbers and list the highest common factor.
The factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570
The factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948
The HCF of 6570,9948 is 6.
Lets's calculate GCF of 6570,9948
| 2 | 6570, 9948 |
| 3 | 3285, 4974 |
| 1095, 1658 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6570,9948 By Matching Biggest Common Factor Method
Now, list down the factors of 6570
:1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Now, list down the factors of 9948
:1,2,3,4,6,12,829,1658,2487,3316,4974,9948
Greatest Common Factor
We found the factors 6570,9948 . The biggest common factor number is the GCF number.
So the greatest common factor 6570,9948 is 6.
Lets's calculate LCM of 219,5497
Given numbers has no common factors except 1. So, there LCM is their product i.e 1203843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1203843
Therefore, the GCF of Fractions 6570/219,9948/5497 is 6/1203843
Least Common Multiple of 219,5497 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 219,5497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,5497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,5497) x common factors =1 x 1 = 1
LCM(219,5497) = ( 219 × 5497 ) / 1
LCM(219,5497) = 1203843 / 1
LCM(219,5497) = 1203843
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FAQs on GCF of Fractions of 6570/219, 9948/5497
1. What is the HCF of 6570,9948?
The HCF of 6570,9948 is 6
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 6570/219, 9948/5497?
Answer: GCF of Numerators as per given numbers 6570/219, 9948/5497 is
GCF of Numerators i.e. for 6570,9948 is 6
LCM of denominators i.e. for 219,5497 is 1203843.
Thus, GCF of Fractions is 6/1203843.Finally, GCF of Fractions for 6570/219, 9948/5497 is 6/1203843.