Highest Common Factor of 4414, 6020 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 4414, 6020 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4414, 6020 is 2 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 4414, 6020 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 4414, 6020 is 2.
HCF(4414, 6020) = 2
HCF of 4414, 6020 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4414, 6020 is 2.
Highest Common Factor of 4414,6020 is 2
Step 1: Since 6020 > 4414, we apply the division lemma to 6020 and 4414, to get
6020 = 4414 x 1 + 1606
Step 2: Since the reminder 4414 ≠ 0, we apply division lemma to 1606 and 4414, to get
4414 = 1606 x 2 + 1202
Step 3: We consider the new divisor 1606 and the new remainder 1202, and apply the division lemma to get
1606 = 1202 x 1 + 404
We consider the new divisor 1202 and the new remainder 404,and apply the division lemma to get
1202 = 404 x 2 + 394
We consider the new divisor 404 and the new remainder 394,and apply the division lemma to get
404 = 394 x 1 + 10
We consider the new divisor 394 and the new remainder 10,and apply the division lemma to get
394 = 10 x 39 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4414 and 6020 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(394,10) = HCF(404,394) = HCF(1202,404) = HCF(1606,1202) = HCF(4414,1606) = HCF(6020,4414) .
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Frequently Asked Questions on HCF of 4414, 6020 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 4414, 6020?
Answer: HCF of 4414, 6020 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4414, 6020 using Euclid's Algorithm?
Answer: For arbitrary numbers 4414, 6020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.