Highest Common Factor of 731, 880 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 731, 880 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 880 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 731, 880 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 731, 880 is 1.
HCF(731, 880) = 1
HCF of 731, 880 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 731, 880 is 1.
Highest Common Factor of 731,880 is 1
Step 1: Since 880 > 731, we apply the division lemma to 880 and 731, to get
880 = 731 x 1 + 149
Step 2: Since the reminder 731 ≠ 0, we apply division lemma to 149 and 731, to get
731 = 149 x 4 + 135
Step 3: We consider the new divisor 149 and the new remainder 135, and apply the division lemma to get
149 = 135 x 1 + 14
We consider the new divisor 135 and the new remainder 14,and apply the division lemma to get
135 = 14 x 9 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 731 and 880 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(135,14) = HCF(149,135) = HCF(731,149) = HCF(880,731) .
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Frequently Asked Questions on HCF of 731, 880 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 731, 880?
Answer: HCF of 731, 880 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 880 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.