Highest Common Factor of 444, 69087 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 444, 69087 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 444, 69087 is 3 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 444, 69087 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 444, 69087 is 3.
HCF(444, 69087) = 3
HCF of 444, 69087 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 444, 69087 is 3.
Highest Common Factor of 444,69087 is 3
Step 1: Since 69087 > 444, we apply the division lemma to 69087 and 444, to get
69087 = 444 x 155 + 267
Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 267 and 444, to get
444 = 267 x 1 + 177
Step 3: We consider the new divisor 267 and the new remainder 177, and apply the division lemma to get
267 = 177 x 1 + 90
We consider the new divisor 177 and the new remainder 90,and apply the division lemma to get
177 = 90 x 1 + 87
We consider the new divisor 90 and the new remainder 87,and apply the division lemma to get
90 = 87 x 1 + 3
We consider the new divisor 87 and the new remainder 3,and apply the division lemma to get
87 = 3 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 444 and 69087 is 3
Notice that 3 = HCF(87,3) = HCF(90,87) = HCF(177,90) = HCF(267,177) = HCF(444,267) = HCF(69087,444) .
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Frequently Asked Questions on HCF of 444, 69087 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 444, 69087?
Answer: HCF of 444, 69087 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 444, 69087 using Euclid's Algorithm?
Answer: For arbitrary numbers 444, 69087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
