Highest Common Factor of 4411, 8102 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 4411, 8102 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4411, 8102 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 4411, 8102 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 4411, 8102 is 1.
HCF(4411, 8102) = 1
HCF of 4411, 8102 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4411, 8102 is 1.
Highest Common Factor of 4411,8102 is 1
Step 1: Since 8102 > 4411, we apply the division lemma to 8102 and 4411, to get
8102 = 4411 x 1 + 3691
Step 2: Since the reminder 4411 ≠ 0, we apply division lemma to 3691 and 4411, to get
4411 = 3691 x 1 + 720
Step 3: We consider the new divisor 3691 and the new remainder 720, and apply the division lemma to get
3691 = 720 x 5 + 91
We consider the new divisor 720 and the new remainder 91,and apply the division lemma to get
720 = 91 x 7 + 83
We consider the new divisor 91 and the new remainder 83,and apply the division lemma to get
91 = 83 x 1 + 8
We consider the new divisor 83 and the new remainder 8,and apply the division lemma to get
83 = 8 x 10 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 4411 and 8102 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(83,8) = HCF(91,83) = HCF(720,91) = HCF(3691,720) = HCF(4411,3691) = HCF(8102,4411) .
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Frequently Asked Questions on HCF of 4411, 8102 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 4411, 8102?
Answer: HCF of 4411, 8102 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4411, 8102 using Euclid's Algorithm?
Answer: For arbitrary numbers 4411, 8102 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.