Highest Common Factor of 6083, 4789 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 6083, 4789 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6083, 4789 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 6083, 4789 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 6083, 4789 is 1.
HCF(6083, 4789) = 1
HCF of 6083, 4789 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6083, 4789 is 1.
Highest Common Factor of 6083,4789 is 1
Step 1: Since 6083 > 4789, we apply the division lemma to 6083 and 4789, to get
6083 = 4789 x 1 + 1294
Step 2: Since the reminder 4789 ≠ 0, we apply division lemma to 1294 and 4789, to get
4789 = 1294 x 3 + 907
Step 3: We consider the new divisor 1294 and the new remainder 907, and apply the division lemma to get
1294 = 907 x 1 + 387
We consider the new divisor 907 and the new remainder 387,and apply the division lemma to get
907 = 387 x 2 + 133
We consider the new divisor 387 and the new remainder 133,and apply the division lemma to get
387 = 133 x 2 + 121
We consider the new divisor 133 and the new remainder 121,and apply the division lemma to get
133 = 121 x 1 + 12
We consider the new divisor 121 and the new remainder 12,and apply the division lemma to get
121 = 12 x 10 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6083 and 4789 is 1
Notice that 1 = HCF(12,1) = HCF(121,12) = HCF(133,121) = HCF(387,133) = HCF(907,387) = HCF(1294,907) = HCF(4789,1294) = HCF(6083,4789) .
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Frequently Asked Questions on HCF of 6083, 4789 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 6083, 4789?
Answer: HCF of 6083, 4789 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6083, 4789 using Euclid's Algorithm?
Answer: For arbitrary numbers 6083, 4789 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
