Highest Common Factor of 3774, 8263 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 3774, 8263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3774, 8263 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 3774, 8263 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 3774, 8263 is 1.
HCF(3774, 8263) = 1
HCF of 3774, 8263 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3774, 8263 is 1.
Highest Common Factor of 3774,8263 is 1
Step 1: Since 8263 > 3774, we apply the division lemma to 8263 and 3774, to get
8263 = 3774 x 2 + 715
Step 2: Since the reminder 3774 ≠ 0, we apply division lemma to 715 and 3774, to get
3774 = 715 x 5 + 199
Step 3: We consider the new divisor 715 and the new remainder 199, and apply the division lemma to get
715 = 199 x 3 + 118
We consider the new divisor 199 and the new remainder 118,and apply the division lemma to get
199 = 118 x 1 + 81
We consider the new divisor 118 and the new remainder 81,and apply the division lemma to get
118 = 81 x 1 + 37
We consider the new divisor 81 and the new remainder 37,and apply the division lemma to get
81 = 37 x 2 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 3774 and 8263 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(81,37) = HCF(118,81) = HCF(199,118) = HCF(715,199) = HCF(3774,715) = HCF(8263,3774) .
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Frequently Asked Questions on HCF of 3774, 8263 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 3774, 8263?
Answer: HCF of 3774, 8263 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3774, 8263 using Euclid's Algorithm?
Answer: For arbitrary numbers 3774, 8263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.