Highest Common Factor of 6051, 9962 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 6051, 9962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6051, 9962 is 1 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 6051, 9962 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 6051, 9962 is 1.
HCF(6051, 9962) = 1
HCF of 6051, 9962 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6051, 9962 is 1.
Highest Common Factor of 6051,9962 is 1
Step 1: Since 9962 > 6051, we apply the division lemma to 9962 and 6051, to get
9962 = 6051 x 1 + 3911
Step 2: Since the reminder 6051 ≠ 0, we apply division lemma to 3911 and 6051, to get
6051 = 3911 x 1 + 2140
Step 3: We consider the new divisor 3911 and the new remainder 2140, and apply the division lemma to get
3911 = 2140 x 1 + 1771
We consider the new divisor 2140 and the new remainder 1771,and apply the division lemma to get
2140 = 1771 x 1 + 369
We consider the new divisor 1771 and the new remainder 369,and apply the division lemma to get
1771 = 369 x 4 + 295
We consider the new divisor 369 and the new remainder 295,and apply the division lemma to get
369 = 295 x 1 + 74
We consider the new divisor 295 and the new remainder 74,and apply the division lemma to get
295 = 74 x 3 + 73
We consider the new divisor 74 and the new remainder 73,and apply the division lemma to get
74 = 73 x 1 + 1
We consider the new divisor 73 and the new remainder 1,and apply the division lemma to get
73 = 1 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6051 and 9962 is 1
Notice that 1 = HCF(73,1) = HCF(74,73) = HCF(295,74) = HCF(369,295) = HCF(1771,369) = HCF(2140,1771) = HCF(3911,2140) = HCF(6051,3911) = HCF(9962,6051) .
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Frequently Asked Questions on HCF of 6051, 9962 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 6051, 9962?
Answer: HCF of 6051, 9962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6051, 9962 using Euclid's Algorithm?
Answer: For arbitrary numbers 6051, 9962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.