Highest Common Factor of 2870, 5284 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 2870, 5284 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2870, 5284 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 2870, 5284 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 2870, 5284 is 2.
HCF(2870, 5284) = 2
HCF of 2870, 5284 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2870, 5284 is 2.
Highest Common Factor of 2870,5284 is 2
Step 1: Since 5284 > 2870, we apply the division lemma to 5284 and 2870, to get
5284 = 2870 x 1 + 2414
Step 2: Since the reminder 2870 ≠ 0, we apply division lemma to 2414 and 2870, to get
2870 = 2414 x 1 + 456
Step 3: We consider the new divisor 2414 and the new remainder 456, and apply the division lemma to get
2414 = 456 x 5 + 134
We consider the new divisor 456 and the new remainder 134,and apply the division lemma to get
456 = 134 x 3 + 54
We consider the new divisor 134 and the new remainder 54,and apply the division lemma to get
134 = 54 x 2 + 26
We consider the new divisor 54 and the new remainder 26,and apply the division lemma to get
54 = 26 x 2 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2870 and 5284 is 2
Notice that 2 = HCF(26,2) = HCF(54,26) = HCF(134,54) = HCF(456,134) = HCF(2414,456) = HCF(2870,2414) = HCF(5284,2870) .
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Frequently Asked Questions on HCF of 2870, 5284 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 2870, 5284?
Answer: HCF of 2870, 5284 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2870, 5284 using Euclid's Algorithm?
Answer: For arbitrary numbers 2870, 5284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
