Highest Common Factor of 358, 8753, 4021 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 358, 8753, 4021 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 358, 8753, 4021 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 358, 8753, 4021 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 358, 8753, 4021 is 1.
HCF(358, 8753, 4021) = 1
HCF of 358, 8753, 4021 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 358, 8753, 4021 is 1.
Highest Common Factor of 358,8753,4021 is 1
Step 1: Since 8753 > 358, we apply the division lemma to 8753 and 358, to get
8753 = 358 x 24 + 161
Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 161 and 358, to get
358 = 161 x 2 + 36
Step 3: We consider the new divisor 161 and the new remainder 36, and apply the division lemma to get
161 = 36 x 4 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 358 and 8753 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(161,36) = HCF(358,161) = HCF(8753,358) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4021 > 1, we apply the division lemma to 4021 and 1, to get
4021 = 1 x 4021 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4021 is 1
Notice that 1 = HCF(4021,1) .
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Frequently Asked Questions on HCF of 358, 8753, 4021 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 358, 8753, 4021?
Answer: HCF of 358, 8753, 4021 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 358, 8753, 4021 using Euclid's Algorithm?
Answer: For arbitrary numbers 358, 8753, 4021 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.