Highest Common Factor of 491, 5708 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 491, 5708 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 491, 5708 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 491, 5708 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 491, 5708 is 1.
HCF(491, 5708) = 1
HCF of 491, 5708 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 491, 5708 is 1.
Highest Common Factor of 491,5708 is 1
Step 1: Since 5708 > 491, we apply the division lemma to 5708 and 491, to get
5708 = 491 x 11 + 307
Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 307 and 491, to get
491 = 307 x 1 + 184
Step 3: We consider the new divisor 307 and the new remainder 184, and apply the division lemma to get
307 = 184 x 1 + 123
We consider the new divisor 184 and the new remainder 123,and apply the division lemma to get
184 = 123 x 1 + 61
We consider the new divisor 123 and the new remainder 61,and apply the division lemma to get
123 = 61 x 2 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 491 and 5708 is 1
Notice that 1 = HCF(61,1) = HCF(123,61) = HCF(184,123) = HCF(307,184) = HCF(491,307) = HCF(5708,491) .
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Frequently Asked Questions on HCF of 491, 5708 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 491, 5708?
Answer: HCF of 491, 5708 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 491, 5708 using Euclid's Algorithm?
Answer: For arbitrary numbers 491, 5708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
