Highest Common Factor of 435, 709 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 435, 709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 435, 709 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 435, 709 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 435, 709 is 1.
HCF(435, 709) = 1
HCF of 435, 709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 435, 709 is 1.
Highest Common Factor of 435,709 is 1
Step 1: Since 709 > 435, we apply the division lemma to 709 and 435, to get
709 = 435 x 1 + 274
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 274 and 435, to get
435 = 274 x 1 + 161
Step 3: We consider the new divisor 274 and the new remainder 161, and apply the division lemma to get
274 = 161 x 1 + 113
We consider the new divisor 161 and the new remainder 113,and apply the division lemma to get
161 = 113 x 1 + 48
We consider the new divisor 113 and the new remainder 48,and apply the division lemma to get
113 = 48 x 2 + 17
We consider the new divisor 48 and the new remainder 17,and apply the division lemma to get
48 = 17 x 2 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 435 and 709 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(48,17) = HCF(113,48) = HCF(161,113) = HCF(274,161) = HCF(435,274) = HCF(709,435) .
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Frequently Asked Questions on HCF of 435, 709 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 435, 709?
Answer: HCF of 435, 709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 435, 709 using Euclid's Algorithm?
Answer: For arbitrary numbers 435, 709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.