Highest Common Factor of 553, 21858 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 553, 21858 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 21858 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 553, 21858 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 553, 21858 is 1.
HCF(553, 21858) = 1
HCF of 553, 21858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 21858 is 1.
Highest Common Factor of 553,21858 is 1
Step 1: Since 21858 > 553, we apply the division lemma to 21858 and 553, to get
21858 = 553 x 39 + 291
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 291 and 553, to get
553 = 291 x 1 + 262
Step 3: We consider the new divisor 291 and the new remainder 262, and apply the division lemma to get
291 = 262 x 1 + 29
We consider the new divisor 262 and the new remainder 29,and apply the division lemma to get
262 = 29 x 9 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 553 and 21858 is 1
Notice that 1 = HCF(29,1) = HCF(262,29) = HCF(291,262) = HCF(553,291) = HCF(21858,553) .
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Frequently Asked Questions on HCF of 553, 21858 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 553, 21858?
Answer: HCF of 553, 21858 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 21858 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 21858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.