Highest Common Factor of 287, 6978, 5020 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 287, 6978, 5020 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 287, 6978, 5020 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 287, 6978, 5020 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 287, 6978, 5020 is 1.
HCF(287, 6978, 5020) = 1
HCF of 287, 6978, 5020 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 287, 6978, 5020 is 1.
Highest Common Factor of 287,6978,5020 is 1
Step 1: Since 6978 > 287, we apply the division lemma to 6978 and 287, to get
6978 = 287 x 24 + 90
Step 2: Since the reminder 287 ≠ 0, we apply division lemma to 90 and 287, to get
287 = 90 x 3 + 17
Step 3: We consider the new divisor 90 and the new remainder 17, and apply the division lemma to get
90 = 17 x 5 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 287 and 6978 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(90,17) = HCF(287,90) = HCF(6978,287) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5020 > 1, we apply the division lemma to 5020 and 1, to get
5020 = 1 x 5020 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5020 is 1
Notice that 1 = HCF(5020,1) .
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Frequently Asked Questions on HCF of 287, 6978, 5020 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 287, 6978, 5020?
Answer: HCF of 287, 6978, 5020 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 287, 6978, 5020 using Euclid's Algorithm?
Answer: For arbitrary numbers 287, 6978, 5020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.