Highest Common Factor of 3674, 9047 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 3674, 9047 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3674, 9047 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 3674, 9047 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 3674, 9047 is 1.
HCF(3674, 9047) = 1
HCF of 3674, 9047 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3674, 9047 is 1.
Highest Common Factor of 3674,9047 is 1
Step 1: Since 9047 > 3674, we apply the division lemma to 9047 and 3674, to get
9047 = 3674 x 2 + 1699
Step 2: Since the reminder 3674 ≠ 0, we apply division lemma to 1699 and 3674, to get
3674 = 1699 x 2 + 276
Step 3: We consider the new divisor 1699 and the new remainder 276, and apply the division lemma to get
1699 = 276 x 6 + 43
We consider the new divisor 276 and the new remainder 43,and apply the division lemma to get
276 = 43 x 6 + 18
We consider the new divisor 43 and the new remainder 18,and apply the division lemma to get
43 = 18 x 2 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3674 and 9047 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(43,18) = HCF(276,43) = HCF(1699,276) = HCF(3674,1699) = HCF(9047,3674) .
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Frequently Asked Questions on HCF of 3674, 9047 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 3674, 9047?
Answer: HCF of 3674, 9047 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3674, 9047 using Euclid's Algorithm?
Answer: For arbitrary numbers 3674, 9047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.