Highest Common Factor of 8925, 1091 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 8925, 1091 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8925, 1091 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 8925, 1091 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 8925, 1091 is 1.
HCF(8925, 1091) = 1
HCF of 8925, 1091 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8925, 1091 is 1.
Highest Common Factor of 8925,1091 is 1
Step 1: Since 8925 > 1091, we apply the division lemma to 8925 and 1091, to get
8925 = 1091 x 8 + 197
Step 2: Since the reminder 1091 ≠ 0, we apply division lemma to 197 and 1091, to get
1091 = 197 x 5 + 106
Step 3: We consider the new divisor 197 and the new remainder 106, and apply the division lemma to get
197 = 106 x 1 + 91
We consider the new divisor 106 and the new remainder 91,and apply the division lemma to get
106 = 91 x 1 + 15
We consider the new divisor 91 and the new remainder 15,and apply the division lemma to get
91 = 15 x 6 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8925 and 1091 is 1
Notice that 1 = HCF(15,1) = HCF(91,15) = HCF(106,91) = HCF(197,106) = HCF(1091,197) = HCF(8925,1091) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8925, 1091 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 8925, 1091?
Answer: HCF of 8925, 1091 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8925, 1091 using Euclid's Algorithm?
Answer: For arbitrary numbers 8925, 1091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.