Highest Common Factor of 721, 435 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 721, 435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 721, 435 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 721, 435 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 721, 435 is 1.
HCF(721, 435) = 1
HCF of 721, 435 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 721, 435 is 1.
Highest Common Factor of 721,435 is 1
Step 1: Since 721 > 435, we apply the division lemma to 721 and 435, to get
721 = 435 x 1 + 286
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 286 and 435, to get
435 = 286 x 1 + 149
Step 3: We consider the new divisor 286 and the new remainder 149, and apply the division lemma to get
286 = 149 x 1 + 137
We consider the new divisor 149 and the new remainder 137,and apply the division lemma to get
149 = 137 x 1 + 12
We consider the new divisor 137 and the new remainder 12,and apply the division lemma to get
137 = 12 x 11 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 721 and 435 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(137,12) = HCF(149,137) = HCF(286,149) = HCF(435,286) = HCF(721,435) .
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Frequently Asked Questions on HCF of 721, 435 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 721, 435?
Answer: HCF of 721, 435 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 721, 435 using Euclid's Algorithm?
Answer: For arbitrary numbers 721, 435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.