Highest Common Factor of 701, 9516, 9538 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, 9516, 9538 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 9516, 9538 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, 9516, 9538 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, 9516, 9538 is 1.
HCF(701, 9516, 9538) = 1
HCF of 701, 9516, 9538 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, 9516, 9538 is 1.
Highest Common Factor of 701,9516,9538 is 1
Step 1: Since 9516 > 701, we apply the division lemma to 9516 and 701, to get
9516 = 701 x 13 + 403
Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 403 and 701, to get
701 = 403 x 1 + 298
Step 3: We consider the new divisor 403 and the new remainder 298, and apply the division lemma to get
403 = 298 x 1 + 105
We consider the new divisor 298 and the new remainder 105,and apply the division lemma to get
298 = 105 x 2 + 88
We consider the new divisor 105 and the new remainder 88,and apply the division lemma to get
105 = 88 x 1 + 17
We consider the new divisor 88 and the new remainder 17,and apply the division lemma to get
88 = 17 x 5 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 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 701 and 9516 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(88,17) = HCF(105,88) = HCF(298,105) = HCF(403,298) = HCF(701,403) = HCF(9516,701) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9538 > 1, we apply the division lemma to 9538 and 1, to get
9538 = 1 x 9538 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9538 is 1
Notice that 1 = HCF(9538,1) .
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Frequently Asked Questions on HCF of 701, 9516, 9538 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, 9516, 9538?
Answer: HCF of 701, 9516, 9538 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 9516, 9538 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 9516, 9538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
