Highest Common Factor of 7031, 2442 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 7031, 2442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7031, 2442 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 7031, 2442 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 7031, 2442 is 1.
HCF(7031, 2442) = 1
HCF of 7031, 2442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7031, 2442 is 1.
Highest Common Factor of 7031,2442 is 1
Step 1: Since 7031 > 2442, we apply the division lemma to 7031 and 2442, to get
7031 = 2442 x 2 + 2147
Step 2: Since the reminder 2442 ≠ 0, we apply division lemma to 2147 and 2442, to get
2442 = 2147 x 1 + 295
Step 3: We consider the new divisor 2147 and the new remainder 295, and apply the division lemma to get
2147 = 295 x 7 + 82
We consider the new divisor 295 and the new remainder 82,and apply the division lemma to get
295 = 82 x 3 + 49
We consider the new divisor 82 and the new remainder 49,and apply the division lemma to get
82 = 49 x 1 + 33
We consider the new divisor 49 and the new remainder 33,and apply the division lemma to get
49 = 33 x 1 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7031 and 2442 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(49,33) = HCF(82,49) = HCF(295,82) = HCF(2147,295) = HCF(2442,2147) = HCF(7031,2442) .
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Frequently Asked Questions on HCF of 7031, 2442 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 7031, 2442?
Answer: HCF of 7031, 2442 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7031, 2442 using Euclid's Algorithm?
Answer: For arbitrary numbers 7031, 2442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.