GCF of 9645/985, 6548/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9645/985, 6548/546 i.e 1/537810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9645/985, 6548/546.
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 9645/985,6548/546?
Given fractions are 9645/985,6548/546
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 9645/985,6548/546, numerators are 9645,6548
Denominators are 985,546
The GCF of 9645,6548 is 1 .
LCM of 985,546 is 537810.
The greatest common factor of 9645/985,6548/546 = [GCF of 9645,6548]/[LCM of 985,546]= 1/537810
Therefore, the GCF of 9645/985,6548/546 is 1/537810.
To find the highest common factor of 9645,6548, we have to find the factors of both numbers and list the highest common factor.
The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645
The factors of 6548 are 1, 2, 4, 1637, 3274, 6548
The HCF of 9645,6548 is 1.
Lets's calculate GCF of 9645,6548
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9645,6548 By Matching Biggest Common Factor Method
Now, list down the factors of 9645
:1,3,5,15,643,1929,3215,9645
Now, list down the factors of 6548
:1,2,4,1637,3274,6548
Greatest Common Factor
We found the factors 9645,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 9645,6548 is 1.
Lets's calculate LCM of 985,546
Given numbers has no common factors except 1. So, there LCM is their product i.e 537810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537810
Therefore, the GCF of Fractions 9645/985,6548/546 is 1/537810
Least Common Multiple of 985,546 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 985,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,546) x common factors =1 x 1 = 1
LCM(985,546) = ( 985 × 546 ) / 1
LCM(985,546) = 537810 / 1
LCM(985,546) = 537810
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FAQs on GCF of Fractions of 9645/985, 6548/546
1. What is the HCF of 9645,6548?
The HCF of 9645,6548 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 9645/985, 6548/546?
Answer: GCF of Numerators as per given numbers 9645/985, 6548/546 is
GCF of Numerators i.e. for 9645,6548 is 1
LCM of denominators i.e. for 985,546 is 537810.
Thus, GCF of Fractions is 1/537810.Finally, GCF of Fractions for 9645/985, 6548/546 is 1/537810.