Highest Common Factor of 4412, 7055 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 4412, 7055 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4412, 7055 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 4412, 7055 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 4412, 7055 is 1.
HCF(4412, 7055) = 1
HCF of 4412, 7055 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4412, 7055 is 1.
Highest Common Factor of 4412,7055 is 1
Step 1: Since 7055 > 4412, we apply the division lemma to 7055 and 4412, to get
7055 = 4412 x 1 + 2643
Step 2: Since the reminder 4412 ≠ 0, we apply division lemma to 2643 and 4412, to get
4412 = 2643 x 1 + 1769
Step 3: We consider the new divisor 2643 and the new remainder 1769, and apply the division lemma to get
2643 = 1769 x 1 + 874
We consider the new divisor 1769 and the new remainder 874,and apply the division lemma to get
1769 = 874 x 2 + 21
We consider the new divisor 874 and the new remainder 21,and apply the division lemma to get
874 = 21 x 41 + 13
We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get
21 = 13 x 1 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 4412 and 7055 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(874,21) = HCF(1769,874) = HCF(2643,1769) = HCF(4412,2643) = HCF(7055,4412) .
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Frequently Asked Questions on HCF of 4412, 7055 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 4412, 7055?
Answer: HCF of 4412, 7055 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4412, 7055 using Euclid's Algorithm?
Answer: For arbitrary numbers 4412, 7055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
