Highest Common Factor of 771, 5044 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 771, 5044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 771, 5044 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 771, 5044 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 771, 5044 is 1.
HCF(771, 5044) = 1
HCF of 771, 5044 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 771, 5044 is 1.
Highest Common Factor of 771,5044 is 1
Step 1: Since 5044 > 771, we apply the division lemma to 5044 and 771, to get
5044 = 771 x 6 + 418
Step 2: Since the reminder 771 ≠ 0, we apply division lemma to 418 and 771, to get
771 = 418 x 1 + 353
Step 3: We consider the new divisor 418 and the new remainder 353, and apply the division lemma to get
418 = 353 x 1 + 65
We consider the new divisor 353 and the new remainder 65,and apply the division lemma to get
353 = 65 x 5 + 28
We consider the new divisor 65 and the new remainder 28,and apply the division lemma to get
65 = 28 x 2 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 771 and 5044 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(65,28) = HCF(353,65) = HCF(418,353) = HCF(771,418) = HCF(5044,771) .
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Frequently Asked Questions on HCF of 771, 5044 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 771, 5044?
Answer: HCF of 771, 5044 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 771, 5044 using Euclid's Algorithm?
Answer: For arbitrary numbers 771, 5044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.