Highest Common Factor of 9109, 3688 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 9109, 3688 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9109, 3688 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 9109, 3688 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 9109, 3688 is 1.
HCF(9109, 3688) = 1
HCF of 9109, 3688 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9109, 3688 is 1.
Highest Common Factor of 9109,3688 is 1
Step 1: Since 9109 > 3688, we apply the division lemma to 9109 and 3688, to get
9109 = 3688 x 2 + 1733
Step 2: Since the reminder 3688 ≠ 0, we apply division lemma to 1733 and 3688, to get
3688 = 1733 x 2 + 222
Step 3: We consider the new divisor 1733 and the new remainder 222, and apply the division lemma to get
1733 = 222 x 7 + 179
We consider the new divisor 222 and the new remainder 179,and apply the division lemma to get
222 = 179 x 1 + 43
We consider the new divisor 179 and the new remainder 43,and apply the division lemma to get
179 = 43 x 4 + 7
We consider the new divisor 43 and the new remainder 7,and apply the division lemma to get
43 = 7 x 6 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9109 and 3688 is 1
Notice that 1 = HCF(7,1) = HCF(43,7) = HCF(179,43) = HCF(222,179) = HCF(1733,222) = HCF(3688,1733) = HCF(9109,3688) .
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Frequently Asked Questions on HCF of 9109, 3688 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 9109, 3688?
Answer: HCF of 9109, 3688 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9109, 3688 using Euclid's Algorithm?
Answer: For arbitrary numbers 9109, 3688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.