Highest Common Factor of 6068, 9272 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 6068, 9272 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6068, 9272 is 4 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 6068, 9272 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 6068, 9272 is 4.
HCF(6068, 9272) = 4
HCF of 6068, 9272 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6068, 9272 is 4.
Highest Common Factor of 6068,9272 is 4
Step 1: Since 9272 > 6068, we apply the division lemma to 9272 and 6068, to get
9272 = 6068 x 1 + 3204
Step 2: Since the reminder 6068 ≠ 0, we apply division lemma to 3204 and 6068, to get
6068 = 3204 x 1 + 2864
Step 3: We consider the new divisor 3204 and the new remainder 2864, and apply the division lemma to get
3204 = 2864 x 1 + 340
We consider the new divisor 2864 and the new remainder 340,and apply the division lemma to get
2864 = 340 x 8 + 144
We consider the new divisor 340 and the new remainder 144,and apply the division lemma to get
340 = 144 x 2 + 52
We consider the new divisor 144 and the new remainder 52,and apply the division lemma to get
144 = 52 x 2 + 40
We consider the new divisor 52 and the new remainder 40,and apply the division lemma to get
52 = 40 x 1 + 12
We consider the new divisor 40 and the new remainder 12,and apply the division lemma to get
40 = 12 x 3 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6068 and 9272 is 4
Notice that 4 = HCF(12,4) = HCF(40,12) = HCF(52,40) = HCF(144,52) = HCF(340,144) = HCF(2864,340) = HCF(3204,2864) = HCF(6068,3204) = HCF(9272,6068) .
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Frequently Asked Questions on HCF of 6068, 9272 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 6068, 9272?
Answer: HCF of 6068, 9272 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6068, 9272 using Euclid's Algorithm?
Answer: For arbitrary numbers 6068, 9272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.