Highest Common Factor of 7059, 4869 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 7059, 4869 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7059, 4869 is 3 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 7059, 4869 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 7059, 4869 is 3.
HCF(7059, 4869) = 3
HCF of 7059, 4869 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7059, 4869 is 3.
Highest Common Factor of 7059,4869 is 3
Step 1: Since 7059 > 4869, we apply the division lemma to 7059 and 4869, to get
7059 = 4869 x 1 + 2190
Step 2: Since the reminder 4869 ≠ 0, we apply division lemma to 2190 and 4869, to get
4869 = 2190 x 2 + 489
Step 3: We consider the new divisor 2190 and the new remainder 489, and apply the division lemma to get
2190 = 489 x 4 + 234
We consider the new divisor 489 and the new remainder 234,and apply the division lemma to get
489 = 234 x 2 + 21
We consider the new divisor 234 and the new remainder 21,and apply the division lemma to get
234 = 21 x 11 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7059 and 4869 is 3
Notice that 3 = HCF(21,3) = HCF(234,21) = HCF(489,234) = HCF(2190,489) = HCF(4869,2190) = HCF(7059,4869) .
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Frequently Asked Questions on HCF of 7059, 4869 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 7059, 4869?
Answer: HCF of 7059, 4869 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7059, 4869 using Euclid's Algorithm?
Answer: For arbitrary numbers 7059, 4869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.