Highest Common Factor of 9118, 1667 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 9118, 1667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9118, 1667 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 9118, 1667 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 9118, 1667 is 1.
HCF(9118, 1667) = 1
HCF of 9118, 1667 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9118, 1667 is 1.
Highest Common Factor of 9118,1667 is 1
Step 1: Since 9118 > 1667, we apply the division lemma to 9118 and 1667, to get
9118 = 1667 x 5 + 783
Step 2: Since the reminder 1667 ≠ 0, we apply division lemma to 783 and 1667, to get
1667 = 783 x 2 + 101
Step 3: We consider the new divisor 783 and the new remainder 101, and apply the division lemma to get
783 = 101 x 7 + 76
We consider the new divisor 101 and the new remainder 76,and apply the division lemma to get
101 = 76 x 1 + 25
We consider the new divisor 76 and the new remainder 25,and apply the division lemma to get
76 = 25 x 3 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9118 and 1667 is 1
Notice that 1 = HCF(25,1) = HCF(76,25) = HCF(101,76) = HCF(783,101) = HCF(1667,783) = HCF(9118,1667) .
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Frequently Asked Questions on HCF of 9118, 1667 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 9118, 1667?
Answer: HCF of 9118, 1667 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9118, 1667 using Euclid's Algorithm?
Answer: For arbitrary numbers 9118, 1667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.