Highest Common Factor of 2786, 6939 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 2786, 6939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2786, 6939 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 2786, 6939 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 2786, 6939 is 1.
HCF(2786, 6939) = 1
HCF of 2786, 6939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2786, 6939 is 1.
Highest Common Factor of 2786,6939 is 1
Step 1: Since 6939 > 2786, we apply the division lemma to 6939 and 2786, to get
6939 = 2786 x 2 + 1367
Step 2: Since the reminder 2786 ≠ 0, we apply division lemma to 1367 and 2786, to get
2786 = 1367 x 2 + 52
Step 3: We consider the new divisor 1367 and the new remainder 52, and apply the division lemma to get
1367 = 52 x 26 + 15
We consider the new divisor 52 and the new remainder 15,and apply the division lemma to get
52 = 15 x 3 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2786 and 6939 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(52,15) = HCF(1367,52) = HCF(2786,1367) = HCF(6939,2786) .
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Frequently Asked Questions on HCF of 2786, 6939 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 2786, 6939?
Answer: HCF of 2786, 6939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2786, 6939 using Euclid's Algorithm?
Answer: For arbitrary numbers 2786, 6939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
