Highest Common Factor of 3122, 7155 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 3122, 7155 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3122, 7155 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 3122, 7155 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 3122, 7155 is 1.
HCF(3122, 7155) = 1
HCF of 3122, 7155 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3122, 7155 is 1.
Highest Common Factor of 3122,7155 is 1
Step 1: Since 7155 > 3122, we apply the division lemma to 7155 and 3122, to get
7155 = 3122 x 2 + 911
Step 2: Since the reminder 3122 ≠ 0, we apply division lemma to 911 and 3122, to get
3122 = 911 x 3 + 389
Step 3: We consider the new divisor 911 and the new remainder 389, and apply the division lemma to get
911 = 389 x 2 + 133
We consider the new divisor 389 and the new remainder 133,and apply the division lemma to get
389 = 133 x 2 + 123
We consider the new divisor 133 and the new remainder 123,and apply the division lemma to get
133 = 123 x 1 + 10
We consider the new divisor 123 and the new remainder 10,and apply the division lemma to get
123 = 10 x 12 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3122 and 7155 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(123,10) = HCF(133,123) = HCF(389,133) = HCF(911,389) = HCF(3122,911) = HCF(7155,3122) .
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Frequently Asked Questions on HCF of 3122, 7155 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 3122, 7155?
Answer: HCF of 3122, 7155 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3122, 7155 using Euclid's Algorithm?
Answer: For arbitrary numbers 3122, 7155 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.