Highest Common Factor of 4380, 9787 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 4380, 9787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4380, 9787 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 4380, 9787 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 4380, 9787 is 1.
HCF(4380, 9787) = 1
HCF of 4380, 9787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4380, 9787 is 1.
Highest Common Factor of 4380,9787 is 1
Step 1: Since 9787 > 4380, we apply the division lemma to 9787 and 4380, to get
9787 = 4380 x 2 + 1027
Step 2: Since the reminder 4380 ≠ 0, we apply division lemma to 1027 and 4380, to get
4380 = 1027 x 4 + 272
Step 3: We consider the new divisor 1027 and the new remainder 272, and apply the division lemma to get
1027 = 272 x 3 + 211
We consider the new divisor 272 and the new remainder 211,and apply the division lemma to get
272 = 211 x 1 + 61
We consider the new divisor 211 and the new remainder 61,and apply the division lemma to get
211 = 61 x 3 + 28
We consider the new divisor 61 and the new remainder 28,and apply the division lemma to get
61 = 28 x 2 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 4380 and 9787 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(211,61) = HCF(272,211) = HCF(1027,272) = HCF(4380,1027) = HCF(9787,4380) .
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Frequently Asked Questions on HCF of 4380, 9787 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 4380, 9787?
Answer: HCF of 4380, 9787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4380, 9787 using Euclid's Algorithm?
Answer: For arbitrary numbers 4380, 9787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
