Highest Common Factor of 8849, 3068 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 8849, 3068 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8849, 3068 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 8849, 3068 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 8849, 3068 is 1.
HCF(8849, 3068) = 1
HCF of 8849, 3068 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8849, 3068 is 1.
Highest Common Factor of 8849,3068 is 1
Step 1: Since 8849 > 3068, we apply the division lemma to 8849 and 3068, to get
8849 = 3068 x 2 + 2713
Step 2: Since the reminder 3068 ≠ 0, we apply division lemma to 2713 and 3068, to get
3068 = 2713 x 1 + 355
Step 3: We consider the new divisor 2713 and the new remainder 355, and apply the division lemma to get
2713 = 355 x 7 + 228
We consider the new divisor 355 and the new remainder 228,and apply the division lemma to get
355 = 228 x 1 + 127
We consider the new divisor 228 and the new remainder 127,and apply the division lemma to get
228 = 127 x 1 + 101
We consider the new divisor 127 and the new remainder 101,and apply the division lemma to get
127 = 101 x 1 + 26
We consider the new divisor 101 and the new remainder 26,and apply the division lemma to get
101 = 26 x 3 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8849 and 3068 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(101,26) = HCF(127,101) = HCF(228,127) = HCF(355,228) = HCF(2713,355) = HCF(3068,2713) = HCF(8849,3068) .
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Frequently Asked Questions on HCF of 8849, 3068 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 8849, 3068?
Answer: HCF of 8849, 3068 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8849, 3068 using Euclid's Algorithm?
Answer: For arbitrary numbers 8849, 3068 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.