Highest Common Factor of 8945, 2238 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 8945, 2238 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8945, 2238 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 8945, 2238 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 8945, 2238 is 1.
HCF(8945, 2238) = 1
HCF of 8945, 2238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8945, 2238 is 1.
Highest Common Factor of 8945,2238 is 1
Step 1: Since 8945 > 2238, we apply the division lemma to 8945 and 2238, to get
8945 = 2238 x 3 + 2231
Step 2: Since the reminder 2238 ≠ 0, we apply division lemma to 2231 and 2238, to get
2238 = 2231 x 1 + 7
Step 3: We consider the new divisor 2231 and the new remainder 7, and apply the division lemma to get
2231 = 7 x 318 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8945 and 2238 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(2231,7) = HCF(2238,2231) = HCF(8945,2238) .
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Frequently Asked Questions on HCF of 8945, 2238 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 8945, 2238?
Answer: HCF of 8945, 2238 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8945, 2238 using Euclid's Algorithm?
Answer: For arbitrary numbers 8945, 2238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.