Highest Common Factor of 3674, 4824 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, 4824 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3674, 4824 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, 4824 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, 4824 is 2.
HCF(3674, 4824) = 2
HCF of 3674, 4824 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, 4824 is 2.
Highest Common Factor of 3674,4824 is 2
Step 1: Since 4824 > 3674, we apply the division lemma to 4824 and 3674, to get
4824 = 3674 x 1 + 1150
Step 2: Since the reminder 3674 ≠ 0, we apply division lemma to 1150 and 3674, to get
3674 = 1150 x 3 + 224
Step 3: We consider the new divisor 1150 and the new remainder 224, and apply the division lemma to get
1150 = 224 x 5 + 30
We consider the new divisor 224 and the new remainder 30,and apply the division lemma to get
224 = 30 x 7 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3674 and 4824 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(224,30) = HCF(1150,224) = HCF(3674,1150) = HCF(4824,3674) .
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Frequently Asked Questions on HCF of 3674, 4824 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, 4824?
Answer: HCF of 3674, 4824 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3674, 4824 using Euclid's Algorithm?
Answer: For arbitrary numbers 3674, 4824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.