Highest Common Factor of 573, 52025 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 573, 52025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 573, 52025 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 573, 52025 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 573, 52025 is 1.
HCF(573, 52025) = 1
HCF of 573, 52025 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 573, 52025 is 1.
Highest Common Factor of 573,52025 is 1
Step 1: Since 52025 > 573, we apply the division lemma to 52025 and 573, to get
52025 = 573 x 90 + 455
Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 455 and 573, to get
573 = 455 x 1 + 118
Step 3: We consider the new divisor 455 and the new remainder 118, and apply the division lemma to get
455 = 118 x 3 + 101
We consider the new divisor 118 and the new remainder 101,and apply the division lemma to get
118 = 101 x 1 + 17
We consider the new divisor 101 and the new remainder 17,and apply the division lemma to get
101 = 17 x 5 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 573 and 52025 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(101,17) = HCF(118,101) = HCF(455,118) = HCF(573,455) = HCF(52025,573) .
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Frequently Asked Questions on HCF of 573, 52025 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 573, 52025?
Answer: HCF of 573, 52025 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 573, 52025 using Euclid's Algorithm?
Answer: For arbitrary numbers 573, 52025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.