Highest Common Factor of 6794, 4927 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 6794, 4927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6794, 4927 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 6794, 4927 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 6794, 4927 is 1.
HCF(6794, 4927) = 1
HCF of 6794, 4927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6794, 4927 is 1.
Highest Common Factor of 6794,4927 is 1
Step 1: Since 6794 > 4927, we apply the division lemma to 6794 and 4927, to get
6794 = 4927 x 1 + 1867
Step 2: Since the reminder 4927 ≠ 0, we apply division lemma to 1867 and 4927, to get
4927 = 1867 x 2 + 1193
Step 3: We consider the new divisor 1867 and the new remainder 1193, and apply the division lemma to get
1867 = 1193 x 1 + 674
We consider the new divisor 1193 and the new remainder 674,and apply the division lemma to get
1193 = 674 x 1 + 519
We consider the new divisor 674 and the new remainder 519,and apply the division lemma to get
674 = 519 x 1 + 155
We consider the new divisor 519 and the new remainder 155,and apply the division lemma to get
519 = 155 x 3 + 54
We consider the new divisor 155 and the new remainder 54,and apply the division lemma to get
155 = 54 x 2 + 47
We consider the new divisor 54 and the new remainder 47,and apply the division lemma to get
54 = 47 x 1 + 7
We consider the new divisor 47 and the new remainder 7,and apply the division lemma to get
47 = 7 x 6 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6794 and 4927 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(47,7) = HCF(54,47) = HCF(155,54) = HCF(519,155) = HCF(674,519) = HCF(1193,674) = HCF(1867,1193) = HCF(4927,1867) = HCF(6794,4927) .
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Frequently Asked Questions on HCF of 6794, 4927 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 6794, 4927?
Answer: HCF of 6794, 4927 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6794, 4927 using Euclid's Algorithm?
Answer: For arbitrary numbers 6794, 4927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.