Highest Common Factor of 2442, 3304 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 2442, 3304 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2442, 3304 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 2442, 3304 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 2442, 3304 is 2.
HCF(2442, 3304) = 2
HCF of 2442, 3304 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2442, 3304 is 2.
Highest Common Factor of 2442,3304 is 2
Step 1: Since 3304 > 2442, we apply the division lemma to 3304 and 2442, to get
3304 = 2442 x 1 + 862
Step 2: Since the reminder 2442 ≠ 0, we apply division lemma to 862 and 2442, to get
2442 = 862 x 2 + 718
Step 3: We consider the new divisor 862 and the new remainder 718, and apply the division lemma to get
862 = 718 x 1 + 144
We consider the new divisor 718 and the new remainder 144,and apply the division lemma to get
718 = 144 x 4 + 142
We consider the new divisor 144 and the new remainder 142,and apply the division lemma to get
144 = 142 x 1 + 2
We consider the new divisor 142 and the new remainder 2,and apply the division lemma to get
142 = 2 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2442 and 3304 is 2
Notice that 2 = HCF(142,2) = HCF(144,142) = HCF(718,144) = HCF(862,718) = HCF(2442,862) = HCF(3304,2442) .
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Frequently Asked Questions on HCF of 2442, 3304 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 2442, 3304?
Answer: HCF of 2442, 3304 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2442, 3304 using Euclid's Algorithm?
Answer: For arbitrary numbers 2442, 3304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.