Highest Common Factor of 731, 425 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, 425 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 425 is 17 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, 425 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, 425 is 17.
HCF(731, 425) = 17
HCF of 731, 425 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, 425 is 17.
Highest Common Factor of 731,425 is 17
Step 1: Since 731 > 425, we apply the division lemma to 731 and 425, to get
731 = 425 x 1 + 306
Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 306 and 425, to get
425 = 306 x 1 + 119
Step 3: We consider the new divisor 306 and the new remainder 119, and apply the division lemma to get
306 = 119 x 2 + 68
We consider the new divisor 119 and the new remainder 68,and apply the division lemma to get
119 = 68 x 1 + 51
We consider the new divisor 68 and the new remainder 51,and apply the division lemma to get
68 = 51 x 1 + 17
We consider the new divisor 51 and the new remainder 17,and apply the division lemma to get
51 = 17 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 731 and 425 is 17
Notice that 17 = HCF(51,17) = HCF(68,51) = HCF(119,68) = HCF(306,119) = HCF(425,306) = HCF(731,425) .
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Frequently Asked Questions on HCF of 731, 425 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, 425?
Answer: HCF of 731, 425 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 425 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.