Highest Common Factor of 8944, 4839 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 8944, 4839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8944, 4839 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 8944, 4839 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 8944, 4839 is 1.
HCF(8944, 4839) = 1
HCF of 8944, 4839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8944, 4839 is 1.
Highest Common Factor of 8944,4839 is 1
Step 1: Since 8944 > 4839, we apply the division lemma to 8944 and 4839, to get
8944 = 4839 x 1 + 4105
Step 2: Since the reminder 4839 ≠ 0, we apply division lemma to 4105 and 4839, to get
4839 = 4105 x 1 + 734
Step 3: We consider the new divisor 4105 and the new remainder 734, and apply the division lemma to get
4105 = 734 x 5 + 435
We consider the new divisor 734 and the new remainder 435,and apply the division lemma to get
734 = 435 x 1 + 299
We consider the new divisor 435 and the new remainder 299,and apply the division lemma to get
435 = 299 x 1 + 136
We consider the new divisor 299 and the new remainder 136,and apply the division lemma to get
299 = 136 x 2 + 27
We consider the new divisor 136 and the new remainder 27,and apply the division lemma to get
136 = 27 x 5 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8944 and 4839 is 1
Notice that 1 = HCF(27,1) = HCF(136,27) = HCF(299,136) = HCF(435,299) = HCF(734,435) = HCF(4105,734) = HCF(4839,4105) = HCF(8944,4839) .
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Frequently Asked Questions on HCF of 8944, 4839 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 8944, 4839?
Answer: HCF of 8944, 4839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8944, 4839 using Euclid's Algorithm?
Answer: For arbitrary numbers 8944, 4839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.