Highest Common Factor of 117, 9613, 4600 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 117, 9613, 4600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 117, 9613, 4600 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 117, 9613, 4600 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 117, 9613, 4600 is 1.
HCF(117, 9613, 4600) = 1
HCF of 117, 9613, 4600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 117, 9613, 4600 is 1.
Highest Common Factor of 117,9613,4600 is 1
Step 1: Since 9613 > 117, we apply the division lemma to 9613 and 117, to get
9613 = 117 x 82 + 19
Step 2: Since the reminder 117 ≠ 0, we apply division lemma to 19 and 117, to get
117 = 19 x 6 + 3
Step 3: We consider the new divisor 19 and the new remainder 3, and apply the division lemma to get
19 = 3 x 6 + 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 117 and 9613 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(117,19) = HCF(9613,117) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4600 > 1, we apply the division lemma to 4600 and 1, to get
4600 = 1 x 4600 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4600 is 1
Notice that 1 = HCF(4600,1) .
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Frequently Asked Questions on HCF of 117, 9613, 4600 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 117, 9613, 4600?
Answer: HCF of 117, 9613, 4600 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 117, 9613, 4600 using Euclid's Algorithm?
Answer: For arbitrary numbers 117, 9613, 4600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.