Highest Common Factor of 9117, 6910 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 9117, 6910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9117, 6910 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 9117, 6910 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 9117, 6910 is 1.
HCF(9117, 6910) = 1
HCF of 9117, 6910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9117, 6910 is 1.
Highest Common Factor of 9117,6910 is 1
Step 1: Since 9117 > 6910, we apply the division lemma to 9117 and 6910, to get
9117 = 6910 x 1 + 2207
Step 2: Since the reminder 6910 ≠ 0, we apply division lemma to 2207 and 6910, to get
6910 = 2207 x 3 + 289
Step 3: We consider the new divisor 2207 and the new remainder 289, and apply the division lemma to get
2207 = 289 x 7 + 184
We consider the new divisor 289 and the new remainder 184,and apply the division lemma to get
289 = 184 x 1 + 105
We consider the new divisor 184 and the new remainder 105,and apply the division lemma to get
184 = 105 x 1 + 79
We consider the new divisor 105 and the new remainder 79,and apply the division lemma to get
105 = 79 x 1 + 26
We consider the new divisor 79 and the new remainder 26,and apply the division lemma to get
79 = 26 x 3 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9117 and 6910 is 1
Notice that 1 = HCF(26,1) = HCF(79,26) = HCF(105,79) = HCF(184,105) = HCF(289,184) = HCF(2207,289) = HCF(6910,2207) = HCF(9117,6910) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9117, 6910 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 9117, 6910?
Answer: HCF of 9117, 6910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9117, 6910 using Euclid's Algorithm?
Answer: For arbitrary numbers 9117, 6910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.