Highest Common Factor of 2944, 5262 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 2944, 5262 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2944, 5262 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 2944, 5262 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 2944, 5262 is 2.
HCF(2944, 5262) = 2
HCF of 2944, 5262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2944, 5262 is 2.
Highest Common Factor of 2944,5262 is 2
Step 1: Since 5262 > 2944, we apply the division lemma to 5262 and 2944, to get
5262 = 2944 x 1 + 2318
Step 2: Since the reminder 2944 ≠ 0, we apply division lemma to 2318 and 2944, to get
2944 = 2318 x 1 + 626
Step 3: We consider the new divisor 2318 and the new remainder 626, and apply the division lemma to get
2318 = 626 x 3 + 440
We consider the new divisor 626 and the new remainder 440,and apply the division lemma to get
626 = 440 x 1 + 186
We consider the new divisor 440 and the new remainder 186,and apply the division lemma to get
440 = 186 x 2 + 68
We consider the new divisor 186 and the new remainder 68,and apply the division lemma to get
186 = 68 x 2 + 50
We consider the new divisor 68 and the new remainder 50,and apply the division lemma to get
68 = 50 x 1 + 18
We consider the new divisor 50 and the new remainder 18,and apply the division lemma to get
50 = 18 x 2 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 2944 and 5262 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(50,18) = HCF(68,50) = HCF(186,68) = HCF(440,186) = HCF(626,440) = HCF(2318,626) = HCF(2944,2318) = HCF(5262,2944) .
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Frequently Asked Questions on HCF of 2944, 5262 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 2944, 5262?
Answer: HCF of 2944, 5262 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2944, 5262 using Euclid's Algorithm?
Answer: For arbitrary numbers 2944, 5262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.