Highest Common Factor of 3782, 1894, 48658 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 3782, 1894, 48658 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3782, 1894, 48658 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 3782, 1894, 48658 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 3782, 1894, 48658 is 2.
HCF(3782, 1894, 48658) = 2
HCF of 3782, 1894, 48658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3782, 1894, 48658 is 2.
Highest Common Factor of 3782,1894,48658 is 2
Step 1: Since 3782 > 1894, we apply the division lemma to 3782 and 1894, to get
3782 = 1894 x 1 + 1888
Step 2: Since the reminder 1894 ≠ 0, we apply division lemma to 1888 and 1894, to get
1894 = 1888 x 1 + 6
Step 3: We consider the new divisor 1888 and the new remainder 6, and apply the division lemma to get
1888 = 6 x 314 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3782 and 1894 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(1888,6) = HCF(1894,1888) = HCF(3782,1894) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48658 > 2, we apply the division lemma to 48658 and 2, to get
48658 = 2 x 24329 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 48658 is 2
Notice that 2 = HCF(48658,2) .
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Frequently Asked Questions on HCF of 3782, 1894, 48658 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 3782, 1894, 48658?
Answer: HCF of 3782, 1894, 48658 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3782, 1894, 48658 using Euclid's Algorithm?
Answer: For arbitrary numbers 3782, 1894, 48658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.