Highest Common Factor of 6035, 4919 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 6035, 4919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6035, 4919 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 6035, 4919 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 6035, 4919 is 1.
HCF(6035, 4919) = 1
HCF of 6035, 4919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6035, 4919 is 1.
Highest Common Factor of 6035,4919 is 1
Step 1: Since 6035 > 4919, we apply the division lemma to 6035 and 4919, to get
6035 = 4919 x 1 + 1116
Step 2: Since the reminder 4919 ≠ 0, we apply division lemma to 1116 and 4919, to get
4919 = 1116 x 4 + 455
Step 3: We consider the new divisor 1116 and the new remainder 455, and apply the division lemma to get
1116 = 455 x 2 + 206
We consider the new divisor 455 and the new remainder 206,and apply the division lemma to get
455 = 206 x 2 + 43
We consider the new divisor 206 and the new remainder 43,and apply the division lemma to get
206 = 43 x 4 + 34
We consider the new divisor 43 and the new remainder 34,and apply the division lemma to get
43 = 34 x 1 + 9
We consider the new divisor 34 and the new remainder 9,and apply the division lemma to get
34 = 9 x 3 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 6035 and 4919 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(43,34) = HCF(206,43) = HCF(455,206) = HCF(1116,455) = HCF(4919,1116) = HCF(6035,4919) .
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Frequently Asked Questions on HCF of 6035, 4919 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 6035, 4919?
Answer: HCF of 6035, 4919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6035, 4919 using Euclid's Algorithm?
Answer: For arbitrary numbers 6035, 4919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.