Highest Common Factor of 1287, 9994 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 1287, 9994 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1287, 9994 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 1287, 9994 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 1287, 9994 is 1.
HCF(1287, 9994) = 1
HCF of 1287, 9994 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1287, 9994 is 1.
Highest Common Factor of 1287,9994 is 1
Step 1: Since 9994 > 1287, we apply the division lemma to 9994 and 1287, to get
9994 = 1287 x 7 + 985
Step 2: Since the reminder 1287 ≠ 0, we apply division lemma to 985 and 1287, to get
1287 = 985 x 1 + 302
Step 3: We consider the new divisor 985 and the new remainder 302, and apply the division lemma to get
985 = 302 x 3 + 79
We consider the new divisor 302 and the new remainder 79,and apply the division lemma to get
302 = 79 x 3 + 65
We consider the new divisor 79 and the new remainder 65,and apply the division lemma to get
79 = 65 x 1 + 14
We consider the new divisor 65 and the new remainder 14,and apply the division lemma to get
65 = 14 x 4 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1287 and 9994 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(65,14) = HCF(79,65) = HCF(302,79) = HCF(985,302) = HCF(1287,985) = HCF(9994,1287) .
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Frequently Asked Questions on HCF of 1287, 9994 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 1287, 9994?
Answer: HCF of 1287, 9994 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1287, 9994 using Euclid's Algorithm?
Answer: For arbitrary numbers 1287, 9994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.