Highest Common Factor of 2884, 5414 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 2884, 5414 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2884, 5414 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 2884, 5414 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 2884, 5414 is 2.
HCF(2884, 5414) = 2
HCF of 2884, 5414 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2884, 5414 is 2.
Highest Common Factor of 2884,5414 is 2
Step 1: Since 5414 > 2884, we apply the division lemma to 5414 and 2884, to get
5414 = 2884 x 1 + 2530
Step 2: Since the reminder 2884 ≠ 0, we apply division lemma to 2530 and 2884, to get
2884 = 2530 x 1 + 354
Step 3: We consider the new divisor 2530 and the new remainder 354, and apply the division lemma to get
2530 = 354 x 7 + 52
We consider the new divisor 354 and the new remainder 52,and apply the division lemma to get
354 = 52 x 6 + 42
We consider the new divisor 52 and the new remainder 42,and apply the division lemma to get
52 = 42 x 1 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 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 2884 and 5414 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(52,42) = HCF(354,52) = HCF(2530,354) = HCF(2884,2530) = HCF(5414,2884) .
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Frequently Asked Questions on HCF of 2884, 5414 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 2884, 5414?
Answer: HCF of 2884, 5414 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2884, 5414 using Euclid's Algorithm?
Answer: For arbitrary numbers 2884, 5414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
