Highest Common Factor of 918, 1587 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 918, 1587 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 1587 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 918, 1587 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 918, 1587 is 3.
HCF(918, 1587) = 3
HCF of 918, 1587 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 918, 1587 is 3.
Highest Common Factor of 918,1587 is 3
Step 1: Since 1587 > 918, we apply the division lemma to 1587 and 918, to get
1587 = 918 x 1 + 669
Step 2: Since the reminder 918 ≠ 0, we apply division lemma to 669 and 918, to get
918 = 669 x 1 + 249
Step 3: We consider the new divisor 669 and the new remainder 249, and apply the division lemma to get
669 = 249 x 2 + 171
We consider the new divisor 249 and the new remainder 171,and apply the division lemma to get
249 = 171 x 1 + 78
We consider the new divisor 171 and the new remainder 78,and apply the division lemma to get
171 = 78 x 2 + 15
We consider the new divisor 78 and the new remainder 15,and apply the division lemma to get
78 = 15 x 5 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 918 and 1587 is 3
Notice that 3 = HCF(15,3) = HCF(78,15) = HCF(171,78) = HCF(249,171) = HCF(669,249) = HCF(918,669) = HCF(1587,918) .
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Frequently Asked Questions on HCF of 918, 1587 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 918, 1587?
Answer: HCF of 918, 1587 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 1587 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 1587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.