Highest Common Factor of 691, 2894 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 691, 2894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 691, 2894 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 691, 2894 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 691, 2894 is 1.
HCF(691, 2894) = 1
HCF of 691, 2894 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 691, 2894 is 1.
Highest Common Factor of 691,2894 is 1
Step 1: Since 2894 > 691, we apply the division lemma to 2894 and 691, to get
2894 = 691 x 4 + 130
Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 130 and 691, to get
691 = 130 x 5 + 41
Step 3: We consider the new divisor 130 and the new remainder 41, and apply the division lemma to get
130 = 41 x 3 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 691 and 2894 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(130,41) = HCF(691,130) = HCF(2894,691) .
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Frequently Asked Questions on HCF of 691, 2894 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 691, 2894?
Answer: HCF of 691, 2894 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 691, 2894 using Euclid's Algorithm?
Answer: For arbitrary numbers 691, 2894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
