Highest Common Factor of 1930, 4576 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 1930, 4576 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1930, 4576 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 1930, 4576 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 1930, 4576 is 2.
HCF(1930, 4576) = 2
HCF of 1930, 4576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1930, 4576 is 2.
Highest Common Factor of 1930,4576 is 2
Step 1: Since 4576 > 1930, we apply the division lemma to 4576 and 1930, to get
4576 = 1930 x 2 + 716
Step 2: Since the reminder 1930 ≠ 0, we apply division lemma to 716 and 1930, to get
1930 = 716 x 2 + 498
Step 3: We consider the new divisor 716 and the new remainder 498, and apply the division lemma to get
716 = 498 x 1 + 218
We consider the new divisor 498 and the new remainder 218,and apply the division lemma to get
498 = 218 x 2 + 62
We consider the new divisor 218 and the new remainder 62,and apply the division lemma to get
218 = 62 x 3 + 32
We consider the new divisor 62 and the new remainder 32,and apply the division lemma to get
62 = 32 x 1 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1930 and 4576 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(62,32) = HCF(218,62) = HCF(498,218) = HCF(716,498) = HCF(1930,716) = HCF(4576,1930) .
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Frequently Asked Questions on HCF of 1930, 4576 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 1930, 4576?
Answer: HCF of 1930, 4576 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1930, 4576 using Euclid's Algorithm?
Answer: For arbitrary numbers 1930, 4576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
