Highest Common Factor of 9939, 8274, 53091 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9939, 8274, 53091 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9939, 8274, 53091 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 9939, 8274, 53091 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 9939, 8274, 53091 is 3.
HCF(9939, 8274, 53091) = 3
HCF of 9939, 8274, 53091 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9939, 8274, 53091 is 3.
Highest Common Factor of 9939,8274,53091 is 3
Step 1: Since 9939 > 8274, we apply the division lemma to 9939 and 8274, to get
9939 = 8274 x 1 + 1665
Step 2: Since the reminder 8274 ≠ 0, we apply division lemma to 1665 and 8274, to get
8274 = 1665 x 4 + 1614
Step 3: We consider the new divisor 1665 and the new remainder 1614, and apply the division lemma to get
1665 = 1614 x 1 + 51
We consider the new divisor 1614 and the new remainder 51,and apply the division lemma to get
1614 = 51 x 31 + 33
We consider the new divisor 51 and the new remainder 33,and apply the division lemma to get
51 = 33 x 1 + 18
We consider the new divisor 33 and the new remainder 18,and apply the division lemma to get
33 = 18 x 1 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9939 and 8274 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(33,18) = HCF(51,33) = HCF(1614,51) = HCF(1665,1614) = HCF(8274,1665) = HCF(9939,8274) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53091 > 3, we apply the division lemma to 53091 and 3, to get
53091 = 3 x 17697 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 53091 is 3
Notice that 3 = HCF(53091,3) .
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Frequently Asked Questions on HCF of 9939, 8274, 53091 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 9939, 8274, 53091?
Answer: HCF of 9939, 8274, 53091 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9939, 8274, 53091 using Euclid's Algorithm?
Answer: For arbitrary numbers 9939, 8274, 53091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.