Highest Common Factor of 8887, 6245 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 8887, 6245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8887, 6245 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 8887, 6245 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 8887, 6245 is 1.
HCF(8887, 6245) = 1
HCF of 8887, 6245 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8887, 6245 is 1.
Highest Common Factor of 8887,6245 is 1
Step 1: Since 8887 > 6245, we apply the division lemma to 8887 and 6245, to get
8887 = 6245 x 1 + 2642
Step 2: Since the reminder 6245 ≠ 0, we apply division lemma to 2642 and 6245, to get
6245 = 2642 x 2 + 961
Step 3: We consider the new divisor 2642 and the new remainder 961, and apply the division lemma to get
2642 = 961 x 2 + 720
We consider the new divisor 961 and the new remainder 720,and apply the division lemma to get
961 = 720 x 1 + 241
We consider the new divisor 720 and the new remainder 241,and apply the division lemma to get
720 = 241 x 2 + 238
We consider the new divisor 241 and the new remainder 238,and apply the division lemma to get
241 = 238 x 1 + 3
We consider the new divisor 238 and the new remainder 3,and apply the division lemma to get
238 = 3 x 79 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8887 and 6245 is 1
Notice that 1 = HCF(3,1) = HCF(238,3) = HCF(241,238) = HCF(720,241) = HCF(961,720) = HCF(2642,961) = HCF(6245,2642) = HCF(8887,6245) .
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Frequently Asked Questions on HCF of 8887, 6245 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 8887, 6245?
Answer: HCF of 8887, 6245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8887, 6245 using Euclid's Algorithm?
Answer: For arbitrary numbers 8887, 6245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.