Highest Common Factor of 1446, 5170 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 1446, 5170 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1446, 5170 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 1446, 5170 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 1446, 5170 is 2.
HCF(1446, 5170) = 2
HCF of 1446, 5170 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1446, 5170 is 2.
Highest Common Factor of 1446,5170 is 2
Step 1: Since 5170 > 1446, we apply the division lemma to 5170 and 1446, to get
5170 = 1446 x 3 + 832
Step 2: Since the reminder 1446 ≠ 0, we apply division lemma to 832 and 1446, to get
1446 = 832 x 1 + 614
Step 3: We consider the new divisor 832 and the new remainder 614, and apply the division lemma to get
832 = 614 x 1 + 218
We consider the new divisor 614 and the new remainder 218,and apply the division lemma to get
614 = 218 x 2 + 178
We consider the new divisor 218 and the new remainder 178,and apply the division lemma to get
218 = 178 x 1 + 40
We consider the new divisor 178 and the new remainder 40,and apply the division lemma to get
178 = 40 x 4 + 18
We consider the new divisor 40 and the new remainder 18,and apply the division lemma to get
40 = 18 x 2 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 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 1446 and 5170 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(178,40) = HCF(218,178) = HCF(614,218) = HCF(832,614) = HCF(1446,832) = HCF(5170,1446) .
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Frequently Asked Questions on HCF of 1446, 5170 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 1446, 5170?
Answer: HCF of 1446, 5170 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1446, 5170 using Euclid's Algorithm?
Answer: For arbitrary numbers 1446, 5170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.