Highest Common Factor of 547, 88439 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 547, 88439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 547, 88439 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 547, 88439 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 547, 88439 is 1.
HCF(547, 88439) = 1
HCF of 547, 88439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 547, 88439 is 1.
Highest Common Factor of 547,88439 is 1
Step 1: Since 88439 > 547, we apply the division lemma to 88439 and 547, to get
88439 = 547 x 161 + 372
Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 372 and 547, to get
547 = 372 x 1 + 175
Step 3: We consider the new divisor 372 and the new remainder 175, and apply the division lemma to get
372 = 175 x 2 + 22
We consider the new divisor 175 and the new remainder 22,and apply the division lemma to get
175 = 22 x 7 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 547 and 88439 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(175,22) = HCF(372,175) = HCF(547,372) = HCF(88439,547) .
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Frequently Asked Questions on HCF of 547, 88439 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 547, 88439?
Answer: HCF of 547, 88439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 547, 88439 using Euclid's Algorithm?
Answer: For arbitrary numbers 547, 88439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.