Highest Common Factor of 594, 745 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 594, 745 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 594, 745 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 594, 745 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 594, 745 is 1.
HCF(594, 745) = 1
HCF of 594, 745 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 594, 745 is 1.
Highest Common Factor of 594,745 is 1
Step 1: Since 745 > 594, we apply the division lemma to 745 and 594, to get
745 = 594 x 1 + 151
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 151 and 594, to get
594 = 151 x 3 + 141
Step 3: We consider the new divisor 151 and the new remainder 141, and apply the division lemma to get
151 = 141 x 1 + 10
We consider the new divisor 141 and the new remainder 10,and apply the division lemma to get
141 = 10 x 14 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 594 and 745 is 1
Notice that 1 = HCF(10,1) = HCF(141,10) = HCF(151,141) = HCF(594,151) = HCF(745,594) .
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Frequently Asked Questions on HCF of 594, 745 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 594, 745?
Answer: HCF of 594, 745 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 594, 745 using Euclid's Algorithm?
Answer: For arbitrary numbers 594, 745 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.