Highest Common Factor of 6782, 4933 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 6782, 4933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6782, 4933 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 6782, 4933 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 6782, 4933 is 1.
HCF(6782, 4933) = 1
HCF of 6782, 4933 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6782, 4933 is 1.
Highest Common Factor of 6782,4933 is 1
Step 1: Since 6782 > 4933, we apply the division lemma to 6782 and 4933, to get
6782 = 4933 x 1 + 1849
Step 2: Since the reminder 4933 ≠ 0, we apply division lemma to 1849 and 4933, to get
4933 = 1849 x 2 + 1235
Step 3: We consider the new divisor 1849 and the new remainder 1235, and apply the division lemma to get
1849 = 1235 x 1 + 614
We consider the new divisor 1235 and the new remainder 614,and apply the division lemma to get
1235 = 614 x 2 + 7
We consider the new divisor 614 and the new remainder 7,and apply the division lemma to get
614 = 7 x 87 + 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 6782 and 4933 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(614,7) = HCF(1235,614) = HCF(1849,1235) = HCF(4933,1849) = HCF(6782,4933) .
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Frequently Asked Questions on HCF of 6782, 4933 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 6782, 4933?
Answer: HCF of 6782, 4933 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6782, 4933 using Euclid's Algorithm?
Answer: For arbitrary numbers 6782, 4933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.