Highest Common Factor of 7770, 7631, 17467 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 7770, 7631, 17467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7770, 7631, 17467 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 7770, 7631, 17467 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 7770, 7631, 17467 is 1.
HCF(7770, 7631, 17467) = 1
HCF of 7770, 7631, 17467 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7770, 7631, 17467 is 1.
Highest Common Factor of 7770,7631,17467 is 1
Step 1: Since 7770 > 7631, we apply the division lemma to 7770 and 7631, to get
7770 = 7631 x 1 + 139
Step 2: Since the reminder 7631 ≠ 0, we apply division lemma to 139 and 7631, to get
7631 = 139 x 54 + 125
Step 3: We consider the new divisor 139 and the new remainder 125, and apply the division lemma to get
139 = 125 x 1 + 14
We consider the new divisor 125 and the new remainder 14,and apply the division lemma to get
125 = 14 x 8 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7770 and 7631 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(125,14) = HCF(139,125) = HCF(7631,139) = HCF(7770,7631) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17467 > 1, we apply the division lemma to 17467 and 1, to get
17467 = 1 x 17467 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17467 is 1
Notice that 1 = HCF(17467,1) .
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Frequently Asked Questions on HCF of 7770, 7631, 17467 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 7770, 7631, 17467?
Answer: HCF of 7770, 7631, 17467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7770, 7631, 17467 using Euclid's Algorithm?
Answer: For arbitrary numbers 7770, 7631, 17467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.