Highest Common Factor of 5943, 6977 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 5943, 6977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5943, 6977 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 5943, 6977 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 5943, 6977 is 1.
HCF(5943, 6977) = 1
HCF of 5943, 6977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5943, 6977 is 1.
Highest Common Factor of 5943,6977 is 1
Step 1: Since 6977 > 5943, we apply the division lemma to 6977 and 5943, to get
6977 = 5943 x 1 + 1034
Step 2: Since the reminder 5943 ≠ 0, we apply division lemma to 1034 and 5943, to get
5943 = 1034 x 5 + 773
Step 3: We consider the new divisor 1034 and the new remainder 773, and apply the division lemma to get
1034 = 773 x 1 + 261
We consider the new divisor 773 and the new remainder 261,and apply the division lemma to get
773 = 261 x 2 + 251
We consider the new divisor 261 and the new remainder 251,and apply the division lemma to get
261 = 251 x 1 + 10
We consider the new divisor 251 and the new remainder 10,and apply the division lemma to get
251 = 10 x 25 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5943 and 6977 is 1
Notice that 1 = HCF(10,1) = HCF(251,10) = HCF(261,251) = HCF(773,261) = HCF(1034,773) = HCF(5943,1034) = HCF(6977,5943) .
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Frequently Asked Questions on HCF of 5943, 6977 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 5943, 6977?
Answer: HCF of 5943, 6977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5943, 6977 using Euclid's Algorithm?
Answer: For arbitrary numbers 5943, 6977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.