Highest Common Factor of 725, 435, 89 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 725, 435, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 435, 89 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 725, 435, 89 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 725, 435, 89 is 1.
HCF(725, 435, 89) = 1
HCF of 725, 435, 89 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 725, 435, 89 is 1.
Highest Common Factor of 725,435,89 is 1
Step 1: Since 725 > 435, we apply the division lemma to 725 and 435, to get
725 = 435 x 1 + 290
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 290 and 435, to get
435 = 290 x 1 + 145
Step 3: We consider the new divisor 290 and the new remainder 145, and apply the division lemma to get
290 = 145 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 145, the HCF of 725 and 435 is 145
Notice that 145 = HCF(290,145) = HCF(435,290) = HCF(725,435) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 145 > 89, we apply the division lemma to 145 and 89, to get
145 = 89 x 1 + 56
Step 2: Since the reminder 89 ≠ 0, we apply division lemma to 56 and 89, to get
89 = 56 x 1 + 33
Step 3: We consider the new divisor 56 and the new remainder 33, and apply the division lemma to get
56 = 33 x 1 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 145 and 89 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(56,33) = HCF(89,56) = HCF(145,89) .
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Frequently Asked Questions on HCF of 725, 435, 89 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 725, 435, 89?
Answer: HCF of 725, 435, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 435, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 435, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.