Highest Common Factor of 2544, 9970 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 2544, 9970 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2544, 9970 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 2544, 9970 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 2544, 9970 is 2.
HCF(2544, 9970) = 2
HCF of 2544, 9970 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2544, 9970 is 2.
Highest Common Factor of 2544,9970 is 2
Step 1: Since 9970 > 2544, we apply the division lemma to 9970 and 2544, to get
9970 = 2544 x 3 + 2338
Step 2: Since the reminder 2544 ≠ 0, we apply division lemma to 2338 and 2544, to get
2544 = 2338 x 1 + 206
Step 3: We consider the new divisor 2338 and the new remainder 206, and apply the division lemma to get
2338 = 206 x 11 + 72
We consider the new divisor 206 and the new remainder 72,and apply the division lemma to get
206 = 72 x 2 + 62
We consider the new divisor 72 and the new remainder 62,and apply the division lemma to get
72 = 62 x 1 + 10
We consider the new divisor 62 and the new remainder 10,and apply the division lemma to get
62 = 10 x 6 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2544 and 9970 is 2
Notice that 2 = HCF(10,2) = HCF(62,10) = HCF(72,62) = HCF(206,72) = HCF(2338,206) = HCF(2544,2338) = HCF(9970,2544) .
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Frequently Asked Questions on HCF of 2544, 9970 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 2544, 9970?
Answer: HCF of 2544, 9970 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2544, 9970 using Euclid's Algorithm?
Answer: For arbitrary numbers 2544, 9970 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
