Highest Common Factor of 4840, 617 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 4840, 617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4840, 617 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 4840, 617 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 4840, 617 is 1.
HCF(4840, 617) = 1
HCF of 4840, 617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4840, 617 is 1.
Highest Common Factor of 4840,617 is 1
Step 1: Since 4840 > 617, we apply the division lemma to 4840 and 617, to get
4840 = 617 x 7 + 521
Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 521 and 617, to get
617 = 521 x 1 + 96
Step 3: We consider the new divisor 521 and the new remainder 96, and apply the division lemma to get
521 = 96 x 5 + 41
We consider the new divisor 96 and the new remainder 41,and apply the division lemma to get
96 = 41 x 2 + 14
We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get
41 = 14 x 2 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4840 and 617 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(96,41) = HCF(521,96) = HCF(617,521) = HCF(4840,617) .
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Frequently Asked Questions on HCF of 4840, 617 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 4840, 617?
Answer: HCF of 4840, 617 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4840, 617 using Euclid's Algorithm?
Answer: For arbitrary numbers 4840, 617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
