Highest Common Factor of 287, 1112 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 287, 1112 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 287, 1112 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 287, 1112 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 287, 1112 is 1.
HCF(287, 1112) = 1
HCF of 287, 1112 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 287, 1112 is 1.
Highest Common Factor of 287,1112 is 1
Step 1: Since 1112 > 287, we apply the division lemma to 1112 and 287, to get
1112 = 287 x 3 + 251
Step 2: Since the reminder 287 ≠ 0, we apply division lemma to 251 and 287, to get
287 = 251 x 1 + 36
Step 3: We consider the new divisor 251 and the new remainder 36, and apply the division lemma to get
251 = 36 x 6 + 35
We consider the new divisor 36 and the new remainder 35,and apply the division lemma to get
36 = 35 x 1 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 287 and 1112 is 1
Notice that 1 = HCF(35,1) = HCF(36,35) = HCF(251,36) = HCF(287,251) = HCF(1112,287) .
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Frequently Asked Questions on HCF of 287, 1112 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 287, 1112?
Answer: HCF of 287, 1112 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 287, 1112 using Euclid's Algorithm?
Answer: For arbitrary numbers 287, 1112 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.