Highest Common Factor of 9420, 5361 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 9420, 5361 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9420, 5361 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 9420, 5361 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 9420, 5361 is 3.
HCF(9420, 5361) = 3
HCF of 9420, 5361 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9420, 5361 is 3.
Highest Common Factor of 9420,5361 is 3
Step 1: Since 9420 > 5361, we apply the division lemma to 9420 and 5361, to get
9420 = 5361 x 1 + 4059
Step 2: Since the reminder 5361 ≠ 0, we apply division lemma to 4059 and 5361, to get
5361 = 4059 x 1 + 1302
Step 3: We consider the new divisor 4059 and the new remainder 1302, and apply the division lemma to get
4059 = 1302 x 3 + 153
We consider the new divisor 1302 and the new remainder 153,and apply the division lemma to get
1302 = 153 x 8 + 78
We consider the new divisor 153 and the new remainder 78,and apply the division lemma to get
153 = 78 x 1 + 75
We consider the new divisor 78 and the new remainder 75,and apply the division lemma to get
78 = 75 x 1 + 3
We consider the new divisor 75 and the new remainder 3,and apply the division lemma to get
75 = 3 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9420 and 5361 is 3
Notice that 3 = HCF(75,3) = HCF(78,75) = HCF(153,78) = HCF(1302,153) = HCF(4059,1302) = HCF(5361,4059) = HCF(9420,5361) .
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Frequently Asked Questions on HCF of 9420, 5361 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 9420, 5361?
Answer: HCF of 9420, 5361 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9420, 5361 using Euclid's Algorithm?
Answer: For arbitrary numbers 9420, 5361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.