Highest Common Factor of 3674, 5584 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, 5584 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3674, 5584 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 3674, 5584 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, 5584 is 2.
HCF(3674, 5584) = 2
HCF of 3674, 5584 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, 5584 is 2.
Highest Common Factor of 3674,5584 is 2
Step 1: Since 5584 > 3674, we apply the division lemma to 5584 and 3674, to get
5584 = 3674 x 1 + 1910
Step 2: Since the reminder 3674 ≠ 0, we apply division lemma to 1910 and 3674, to get
3674 = 1910 x 1 + 1764
Step 3: We consider the new divisor 1910 and the new remainder 1764, and apply the division lemma to get
1910 = 1764 x 1 + 146
We consider the new divisor 1764 and the new remainder 146,and apply the division lemma to get
1764 = 146 x 12 + 12
We consider the new divisor 146 and the new remainder 12,and apply the division lemma to get
146 = 12 x 12 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3674 and 5584 is 2
Notice that 2 = HCF(12,2) = HCF(146,12) = HCF(1764,146) = HCF(1910,1764) = HCF(3674,1910) = HCF(5584,3674) .
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Frequently Asked Questions on HCF of 3674, 5584 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, 5584?
Answer: HCF of 3674, 5584 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3674, 5584 using Euclid's Algorithm?
Answer: For arbitrary numbers 3674, 5584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
