Highest Common Factor of 6783, 2813 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 6783, 2813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6783, 2813 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 6783, 2813 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 6783, 2813 is 1.
HCF(6783, 2813) = 1
HCF of 6783, 2813 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6783, 2813 is 1.
Highest Common Factor of 6783,2813 is 1
Step 1: Since 6783 > 2813, we apply the division lemma to 6783 and 2813, to get
6783 = 2813 x 2 + 1157
Step 2: Since the reminder 2813 ≠ 0, we apply division lemma to 1157 and 2813, to get
2813 = 1157 x 2 + 499
Step 3: We consider the new divisor 1157 and the new remainder 499, and apply the division lemma to get
1157 = 499 x 2 + 159
We consider the new divisor 499 and the new remainder 159,and apply the division lemma to get
499 = 159 x 3 + 22
We consider the new divisor 159 and the new remainder 22,and apply the division lemma to get
159 = 22 x 7 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 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 6783 and 2813 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(159,22) = HCF(499,159) = HCF(1157,499) = HCF(2813,1157) = HCF(6783,2813) .
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Frequently Asked Questions on HCF of 6783, 2813 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 6783, 2813?
Answer: HCF of 6783, 2813 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6783, 2813 using Euclid's Algorithm?
Answer: For arbitrary numbers 6783, 2813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
