Highest Common Factor of 872, 3381, 7153 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 872, 3381, 7153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 872, 3381, 7153 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 872, 3381, 7153 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 872, 3381, 7153 is 1.
HCF(872, 3381, 7153) = 1
HCF of 872, 3381, 7153 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 872, 3381, 7153 is 1.
Highest Common Factor of 872,3381,7153 is 1
Step 1: Since 3381 > 872, we apply the division lemma to 3381 and 872, to get
3381 = 872 x 3 + 765
Step 2: Since the reminder 872 ≠ 0, we apply division lemma to 765 and 872, to get
872 = 765 x 1 + 107
Step 3: We consider the new divisor 765 and the new remainder 107, and apply the division lemma to get
765 = 107 x 7 + 16
We consider the new divisor 107 and the new remainder 16,and apply the division lemma to get
107 = 16 x 6 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 872 and 3381 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(107,16) = HCF(765,107) = HCF(872,765) = HCF(3381,872) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7153 > 1, we apply the division lemma to 7153 and 1, to get
7153 = 1 x 7153 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7153 is 1
Notice that 1 = HCF(7153,1) .
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Frequently Asked Questions on HCF of 872, 3381, 7153 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 872, 3381, 7153?
Answer: HCF of 872, 3381, 7153 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 872, 3381, 7153 using Euclid's Algorithm?
Answer: For arbitrary numbers 872, 3381, 7153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.