Highest Common Factor of 701, 122 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 701, 122 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 122 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 701, 122 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 701, 122 is 1.
HCF(701, 122) = 1
HCF of 701, 122 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 701, 122 is 1.
Highest Common Factor of 701,122 is 1
Step 1: Since 701 > 122, we apply the division lemma to 701 and 122, to get
701 = 122 x 5 + 91
Step 2: Since the reminder 122 ≠ 0, we apply division lemma to 91 and 122, to get
122 = 91 x 1 + 31
Step 3: We consider the new divisor 91 and the new remainder 31, and apply the division lemma to get
91 = 31 x 2 + 29
We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get
31 = 29 x 1 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 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 701 and 122 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(91,31) = HCF(122,91) = HCF(701,122) .
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Frequently Asked Questions on HCF of 701, 122 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 701, 122?
Answer: HCF of 701, 122 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 122 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 122 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.