Highest Common Factor of 603, 760, 428 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 603, 760, 428 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 603, 760, 428 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 603, 760, 428 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 603, 760, 428 is 1.
HCF(603, 760, 428) = 1
HCF of 603, 760, 428 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 603, 760, 428 is 1.
Highest Common Factor of 603,760,428 is 1
Step 1: Since 760 > 603, we apply the division lemma to 760 and 603, to get
760 = 603 x 1 + 157
Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 157 and 603, to get
603 = 157 x 3 + 132
Step 3: We consider the new divisor 157 and the new remainder 132, and apply the division lemma to get
157 = 132 x 1 + 25
We consider the new divisor 132 and the new remainder 25,and apply the division lemma to get
132 = 25 x 5 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 603 and 760 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(132,25) = HCF(157,132) = HCF(603,157) = HCF(760,603) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 428 > 1, we apply the division lemma to 428 and 1, to get
428 = 1 x 428 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 428 is 1
Notice that 1 = HCF(428,1) .
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Frequently Asked Questions on HCF of 603, 760, 428 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 603, 760, 428?
Answer: HCF of 603, 760, 428 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 603, 760, 428 using Euclid's Algorithm?
Answer: For arbitrary numbers 603, 760, 428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.