Highest Common Factor of 3002, 2044 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 3002, 2044 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3002, 2044 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 3002, 2044 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 3002, 2044 is 2.
HCF(3002, 2044) = 2
HCF of 3002, 2044 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3002, 2044 is 2.
Highest Common Factor of 3002,2044 is 2
Step 1: Since 3002 > 2044, we apply the division lemma to 3002 and 2044, to get
3002 = 2044 x 1 + 958
Step 2: Since the reminder 2044 ≠ 0, we apply division lemma to 958 and 2044, to get
2044 = 958 x 2 + 128
Step 3: We consider the new divisor 958 and the new remainder 128, and apply the division lemma to get
958 = 128 x 7 + 62
We consider the new divisor 128 and the new remainder 62,and apply the division lemma to get
128 = 62 x 2 + 4
We consider the new divisor 62 and the new remainder 4,and apply the division lemma to get
62 = 4 x 15 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3002 and 2044 is 2
Notice that 2 = HCF(4,2) = HCF(62,4) = HCF(128,62) = HCF(958,128) = HCF(2044,958) = HCF(3002,2044) .
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Frequently Asked Questions on HCF of 3002, 2044 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 3002, 2044?
Answer: HCF of 3002, 2044 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3002, 2044 using Euclid's Algorithm?
Answer: For arbitrary numbers 3002, 2044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.