Highest Common Factor of 9214, 4087 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 9214, 4087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9214, 4087 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 9214, 4087 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 9214, 4087 is 1.
HCF(9214, 4087) = 1
HCF of 9214, 4087 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9214, 4087 is 1.
Highest Common Factor of 9214,4087 is 1
Step 1: Since 9214 > 4087, we apply the division lemma to 9214 and 4087, to get
9214 = 4087 x 2 + 1040
Step 2: Since the reminder 4087 ≠ 0, we apply division lemma to 1040 and 4087, to get
4087 = 1040 x 3 + 967
Step 3: We consider the new divisor 1040 and the new remainder 967, and apply the division lemma to get
1040 = 967 x 1 + 73
We consider the new divisor 967 and the new remainder 73,and apply the division lemma to get
967 = 73 x 13 + 18
We consider the new divisor 73 and the new remainder 18,and apply the division lemma to get
73 = 18 x 4 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9214 and 4087 is 1
Notice that 1 = HCF(18,1) = HCF(73,18) = HCF(967,73) = HCF(1040,967) = HCF(4087,1040) = HCF(9214,4087) .
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Frequently Asked Questions on HCF of 9214, 4087 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 9214, 4087?
Answer: HCF of 9214, 4087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9214, 4087 using Euclid's Algorithm?
Answer: For arbitrary numbers 9214, 4087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.