Highest Common Factor of 1190, 8547, 67020 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 1190, 8547, 67020 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1190, 8547, 67020 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 1190, 8547, 67020 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 1190, 8547, 67020 is 1.
HCF(1190, 8547, 67020) = 1
HCF of 1190, 8547, 67020 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1190, 8547, 67020 is 1.
Highest Common Factor of 1190,8547,67020 is 1
Step 1: Since 8547 > 1190, we apply the division lemma to 8547 and 1190, to get
8547 = 1190 x 7 + 217
Step 2: Since the reminder 1190 ≠ 0, we apply division lemma to 217 and 1190, to get
1190 = 217 x 5 + 105
Step 3: We consider the new divisor 217 and the new remainder 105, and apply the division lemma to get
217 = 105 x 2 + 7
We consider the new divisor 105 and the new remainder 7, and apply the division lemma to get
105 = 7 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1190 and 8547 is 7
Notice that 7 = HCF(105,7) = HCF(217,105) = HCF(1190,217) = HCF(8547,1190) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 67020 > 7, we apply the division lemma to 67020 and 7, to get
67020 = 7 x 9574 + 2
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get
7 = 2 x 3 + 1
Step 3: 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 7 and 67020 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(67020,7) .
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Frequently Asked Questions on HCF of 1190, 8547, 67020 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 1190, 8547, 67020?
Answer: HCF of 1190, 8547, 67020 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1190, 8547, 67020 using Euclid's Algorithm?
Answer: For arbitrary numbers 1190, 8547, 67020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.