Highest Common Factor of 3782, 8814 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, 8814 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3782, 8814 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, 8814 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, 8814 is 2.
HCF(3782, 8814) = 2
HCF of 3782, 8814 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, 8814 is 2.
Highest Common Factor of 3782,8814 is 2
Step 1: Since 8814 > 3782, we apply the division lemma to 8814 and 3782, to get
8814 = 3782 x 2 + 1250
Step 2: Since the reminder 3782 ≠ 0, we apply division lemma to 1250 and 3782, to get
3782 = 1250 x 3 + 32
Step 3: We consider the new divisor 1250 and the new remainder 32, and apply the division lemma to get
1250 = 32 x 39 + 2
We consider the new divisor 32 and the new remainder 2, and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3782 and 8814 is 2
Notice that 2 = HCF(32,2) = HCF(1250,32) = HCF(3782,1250) = HCF(8814,3782) .
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Frequently Asked Questions on HCF of 3782, 8814 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, 8814?
Answer: HCF of 3782, 8814 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3782, 8814 using Euclid's Algorithm?
Answer: For arbitrary numbers 3782, 8814 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.