Highest Common Factor of 8957, 1149 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 8957, 1149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8957, 1149 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 8957, 1149 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 8957, 1149 is 1.
HCF(8957, 1149) = 1
HCF of 8957, 1149 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8957, 1149 is 1.
Highest Common Factor of 8957,1149 is 1
Step 1: Since 8957 > 1149, we apply the division lemma to 8957 and 1149, to get
8957 = 1149 x 7 + 914
Step 2: Since the reminder 1149 ≠ 0, we apply division lemma to 914 and 1149, to get
1149 = 914 x 1 + 235
Step 3: We consider the new divisor 914 and the new remainder 235, and apply the division lemma to get
914 = 235 x 3 + 209
We consider the new divisor 235 and the new remainder 209,and apply the division lemma to get
235 = 209 x 1 + 26
We consider the new divisor 209 and the new remainder 26,and apply the division lemma to get
209 = 26 x 8 + 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 8957 and 1149 is 1
Notice that 1 = HCF(26,1) = HCF(209,26) = HCF(235,209) = HCF(914,235) = HCF(1149,914) = HCF(8957,1149) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8957, 1149 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 8957, 1149?
Answer: HCF of 8957, 1149 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8957, 1149 using Euclid's Algorithm?
Answer: For arbitrary numbers 8957, 1149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
