Highest Common Factor of 5843, 777 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 5843, 777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5843, 777 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 5843, 777 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 5843, 777 is 1.
HCF(5843, 777) = 1
HCF of 5843, 777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5843, 777 is 1.
Highest Common Factor of 5843,777 is 1
Step 1: Since 5843 > 777, we apply the division lemma to 5843 and 777, to get
5843 = 777 x 7 + 404
Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 404 and 777, to get
777 = 404 x 1 + 373
Step 3: We consider the new divisor 404 and the new remainder 373, and apply the division lemma to get
404 = 373 x 1 + 31
We consider the new divisor 373 and the new remainder 31,and apply the division lemma to get
373 = 31 x 12 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5843 and 777 is 1
Notice that 1 = HCF(31,1) = HCF(373,31) = HCF(404,373) = HCF(777,404) = HCF(5843,777) .
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Frequently Asked Questions on HCF of 5843, 777 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 5843, 777?
Answer: HCF of 5843, 777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5843, 777 using Euclid's Algorithm?
Answer: For arbitrary numbers 5843, 777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.