Highest Common Factor of 686, 27949 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 686, 27949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 686, 27949 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 686, 27949 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 686, 27949 is 1.
HCF(686, 27949) = 1
HCF of 686, 27949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 686, 27949 is 1.
Highest Common Factor of 686,27949 is 1
Step 1: Since 27949 > 686, we apply the division lemma to 27949 and 686, to get
27949 = 686 x 40 + 509
Step 2: Since the reminder 686 ≠ 0, we apply division lemma to 509 and 686, to get
686 = 509 x 1 + 177
Step 3: We consider the new divisor 509 and the new remainder 177, and apply the division lemma to get
509 = 177 x 2 + 155
We consider the new divisor 177 and the new remainder 155,and apply the division lemma to get
177 = 155 x 1 + 22
We consider the new divisor 155 and the new remainder 22,and apply the division lemma to get
155 = 22 x 7 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 686 and 27949 is 1
Notice that 1 = HCF(22,1) = HCF(155,22) = HCF(177,155) = HCF(509,177) = HCF(686,509) = HCF(27949,686) .
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Frequently Asked Questions on HCF of 686, 27949 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 686, 27949?
Answer: HCF of 686, 27949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 686, 27949 using Euclid's Algorithm?
Answer: For arbitrary numbers 686, 27949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.