Highest Common Factor of 2618, 5341, 84921 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 2618, 5341, 84921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2618, 5341, 84921 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 2618, 5341, 84921 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 2618, 5341, 84921 is 1.
HCF(2618, 5341, 84921) = 1
HCF of 2618, 5341, 84921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2618, 5341, 84921 is 1.
Highest Common Factor of 2618,5341,84921 is 1
Step 1: Since 5341 > 2618, we apply the division lemma to 5341 and 2618, to get
5341 = 2618 x 2 + 105
Step 2: Since the reminder 2618 ≠ 0, we apply division lemma to 105 and 2618, to get
2618 = 105 x 24 + 98
Step 3: We consider the new divisor 105 and the new remainder 98, and apply the division lemma to get
105 = 98 x 1 + 7
We consider the new divisor 98 and the new remainder 7, and apply the division lemma to get
98 = 7 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 2618 and 5341 is 7
Notice that 7 = HCF(98,7) = HCF(105,98) = HCF(2618,105) = HCF(5341,2618) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 84921 > 7, we apply the division lemma to 84921 and 7, to get
84921 = 7 x 12131 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 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 7 and 84921 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(84921,7) .
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Frequently Asked Questions on HCF of 2618, 5341, 84921 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 2618, 5341, 84921?
Answer: HCF of 2618, 5341, 84921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2618, 5341, 84921 using Euclid's Algorithm?
Answer: For arbitrary numbers 2618, 5341, 84921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.