Highest Common Factor of 4997, 3480 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 4997, 3480 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4997, 3480 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 4997, 3480 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 4997, 3480 is 1.
HCF(4997, 3480) = 1
HCF of 4997, 3480 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4997, 3480 is 1.
Highest Common Factor of 4997,3480 is 1
Step 1: Since 4997 > 3480, we apply the division lemma to 4997 and 3480, to get
4997 = 3480 x 1 + 1517
Step 2: Since the reminder 3480 ≠ 0, we apply division lemma to 1517 and 3480, to get
3480 = 1517 x 2 + 446
Step 3: We consider the new divisor 1517 and the new remainder 446, and apply the division lemma to get
1517 = 446 x 3 + 179
We consider the new divisor 446 and the new remainder 179,and apply the division lemma to get
446 = 179 x 2 + 88
We consider the new divisor 179 and the new remainder 88,and apply the division lemma to get
179 = 88 x 2 + 3
We consider the new divisor 88 and the new remainder 3,and apply the division lemma to get
88 = 3 x 29 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4997 and 3480 is 1
Notice that 1 = HCF(3,1) = HCF(88,3) = HCF(179,88) = HCF(446,179) = HCF(1517,446) = HCF(3480,1517) = HCF(4997,3480) .
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Frequently Asked Questions on HCF of 4997, 3480 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 4997, 3480?
Answer: HCF of 4997, 3480 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4997, 3480 using Euclid's Algorithm?
Answer: For arbitrary numbers 4997, 3480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.