Highest Common Factor of 4443, 7186 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 4443, 7186 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4443, 7186 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 4443, 7186 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 4443, 7186 is 1.
HCF(4443, 7186) = 1
HCF of 4443, 7186 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4443, 7186 is 1.
Highest Common Factor of 4443,7186 is 1
Step 1: Since 7186 > 4443, we apply the division lemma to 7186 and 4443, to get
7186 = 4443 x 1 + 2743
Step 2: Since the reminder 4443 ≠ 0, we apply division lemma to 2743 and 4443, to get
4443 = 2743 x 1 + 1700
Step 3: We consider the new divisor 2743 and the new remainder 1700, and apply the division lemma to get
2743 = 1700 x 1 + 1043
We consider the new divisor 1700 and the new remainder 1043,and apply the division lemma to get
1700 = 1043 x 1 + 657
We consider the new divisor 1043 and the new remainder 657,and apply the division lemma to get
1043 = 657 x 1 + 386
We consider the new divisor 657 and the new remainder 386,and apply the division lemma to get
657 = 386 x 1 + 271
We consider the new divisor 386 and the new remainder 271,and apply the division lemma to get
386 = 271 x 1 + 115
We consider the new divisor 271 and the new remainder 115,and apply the division lemma to get
271 = 115 x 2 + 41
We consider the new divisor 115 and the new remainder 41,and apply the division lemma to get
115 = 41 x 2 + 33
We consider the new divisor 41 and the new remainder 33,and apply the division lemma to get
41 = 33 x 1 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4443 and 7186 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(41,33) = HCF(115,41) = HCF(271,115) = HCF(386,271) = HCF(657,386) = HCF(1043,657) = HCF(1700,1043) = HCF(2743,1700) = HCF(4443,2743) = HCF(7186,4443) .
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Frequently Asked Questions on HCF of 4443, 7186 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 4443, 7186?
Answer: HCF of 4443, 7186 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4443, 7186 using Euclid's Algorithm?
Answer: For arbitrary numbers 4443, 7186 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.