Highest Common Factor of 6716, 4581 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 6716, 4581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6716, 4581 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 6716, 4581 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 6716, 4581 is 1.
HCF(6716, 4581) = 1
HCF of 6716, 4581 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6716, 4581 is 1.
Highest Common Factor of 6716,4581 is 1
Step 1: Since 6716 > 4581, we apply the division lemma to 6716 and 4581, to get
6716 = 4581 x 1 + 2135
Step 2: Since the reminder 4581 ≠ 0, we apply division lemma to 2135 and 4581, to get
4581 = 2135 x 2 + 311
Step 3: We consider the new divisor 2135 and the new remainder 311, and apply the division lemma to get
2135 = 311 x 6 + 269
We consider the new divisor 311 and the new remainder 269,and apply the division lemma to get
311 = 269 x 1 + 42
We consider the new divisor 269 and the new remainder 42,and apply the division lemma to get
269 = 42 x 6 + 17
We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get
42 = 17 x 2 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6716 and 4581 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(269,42) = HCF(311,269) = HCF(2135,311) = HCF(4581,2135) = HCF(6716,4581) .
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Frequently Asked Questions on HCF of 6716, 4581 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 6716, 4581?
Answer: HCF of 6716, 4581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6716, 4581 using Euclid's Algorithm?
Answer: For arbitrary numbers 6716, 4581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
