Highest Common Factor of 1780, 4018 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 1780, 4018 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1780, 4018 is 2 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 1780, 4018 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 1780, 4018 is 2.
HCF(1780, 4018) = 2
HCF of 1780, 4018 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1780, 4018 is 2.
Highest Common Factor of 1780,4018 is 2
Step 1: Since 4018 > 1780, we apply the division lemma to 4018 and 1780, to get
4018 = 1780 x 2 + 458
Step 2: Since the reminder 1780 ≠ 0, we apply division lemma to 458 and 1780, to get
1780 = 458 x 3 + 406
Step 3: We consider the new divisor 458 and the new remainder 406, and apply the division lemma to get
458 = 406 x 1 + 52
We consider the new divisor 406 and the new remainder 52,and apply the division lemma to get
406 = 52 x 7 + 42
We consider the new divisor 52 and the new remainder 42,and apply the division lemma to get
52 = 42 x 1 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1780 and 4018 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(52,42) = HCF(406,52) = HCF(458,406) = HCF(1780,458) = HCF(4018,1780) .
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Frequently Asked Questions on HCF of 1780, 4018 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 1780, 4018?
Answer: HCF of 1780, 4018 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1780, 4018 using Euclid's Algorithm?
Answer: For arbitrary numbers 1780, 4018 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.