Highest Common Factor of 2860, 4473 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 2860, 4473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2860, 4473 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 2860, 4473 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 2860, 4473 is 1.
HCF(2860, 4473) = 1
HCF of 2860, 4473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2860, 4473 is 1.
Highest Common Factor of 2860,4473 is 1
Step 1: Since 4473 > 2860, we apply the division lemma to 4473 and 2860, to get
4473 = 2860 x 1 + 1613
Step 2: Since the reminder 2860 ≠ 0, we apply division lemma to 1613 and 2860, to get
2860 = 1613 x 1 + 1247
Step 3: We consider the new divisor 1613 and the new remainder 1247, and apply the division lemma to get
1613 = 1247 x 1 + 366
We consider the new divisor 1247 and the new remainder 366,and apply the division lemma to get
1247 = 366 x 3 + 149
We consider the new divisor 366 and the new remainder 149,and apply the division lemma to get
366 = 149 x 2 + 68
We consider the new divisor 149 and the new remainder 68,and apply the division lemma to get
149 = 68 x 2 + 13
We consider the new divisor 68 and the new remainder 13,and apply the division lemma to get
68 = 13 x 5 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2860 and 4473 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(68,13) = HCF(149,68) = HCF(366,149) = HCF(1247,366) = HCF(1613,1247) = HCF(2860,1613) = HCF(4473,2860) .
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Frequently Asked Questions on HCF of 2860, 4473 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 2860, 4473?
Answer: HCF of 2860, 4473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2860, 4473 using Euclid's Algorithm?
Answer: For arbitrary numbers 2860, 4473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.