Highest Common Factor of 425, 692, 15 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 425, 692, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 425, 692, 15 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 425, 692, 15 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 425, 692, 15 is 1.
HCF(425, 692, 15) = 1
HCF of 425, 692, 15 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 425, 692, 15 is 1.
Highest Common Factor of 425,692,15 is 1
Step 1: Since 692 > 425, we apply the division lemma to 692 and 425, to get
692 = 425 x 1 + 267
Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 267 and 425, to get
425 = 267 x 1 + 158
Step 3: We consider the new divisor 267 and the new remainder 158, and apply the division lemma to get
267 = 158 x 1 + 109
We consider the new divisor 158 and the new remainder 109,and apply the division lemma to get
158 = 109 x 1 + 49
We consider the new divisor 109 and the new remainder 49,and apply the division lemma to get
109 = 49 x 2 + 11
We consider the new divisor 49 and the new remainder 11,and apply the division lemma to get
49 = 11 x 4 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 425 and 692 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(49,11) = HCF(109,49) = HCF(158,109) = HCF(267,158) = HCF(425,267) = HCF(692,425) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15 > 1, we apply the division lemma to 15 and 1, to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15 is 1
Notice that 1 = HCF(15,1) .
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Frequently Asked Questions on HCF of 425, 692, 15 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 425, 692, 15?
Answer: HCF of 425, 692, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 425, 692, 15 using Euclid's Algorithm?
Answer: For arbitrary numbers 425, 692, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
