Highest Common Factor of 430, 602, 710 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 430, 602, 710 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 430, 602, 710 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 430, 602, 710 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 430, 602, 710 is 2.
HCF(430, 602, 710) = 2
HCF of 430, 602, 710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 430, 602, 710 is 2.
Highest Common Factor of 430,602,710 is 2
Step 1: Since 602 > 430, we apply the division lemma to 602 and 430, to get
602 = 430 x 1 + 172
Step 2: Since the reminder 430 ≠ 0, we apply division lemma to 172 and 430, to get
430 = 172 x 2 + 86
Step 3: We consider the new divisor 172 and the new remainder 86, and apply the division lemma to get
172 = 86 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 86, the HCF of 430 and 602 is 86
Notice that 86 = HCF(172,86) = HCF(430,172) = HCF(602,430) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 710 > 86, we apply the division lemma to 710 and 86, to get
710 = 86 x 8 + 22
Step 2: Since the reminder 86 ≠ 0, we apply division lemma to 22 and 86, to get
86 = 22 x 3 + 20
Step 3: We consider the new divisor 22 and the new remainder 20, and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2, and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 86 and 710 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(86,22) = HCF(710,86) .
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Frequently Asked Questions on HCF of 430, 602, 710 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 430, 602, 710?
Answer: HCF of 430, 602, 710 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 430, 602, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 430, 602, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
