Highest Common Factor of 610, 945, 960, 426 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 610, 945, 960, 426 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 610, 945, 960, 426 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 610, 945, 960, 426 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 610, 945, 960, 426 is 1.
HCF(610, 945, 960, 426) = 1
HCF of 610, 945, 960, 426 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 610, 945, 960, 426 is 1.
Highest Common Factor of 610,945,960,426 is 1
Step 1: Since 945 > 610, we apply the division lemma to 945 and 610, to get
945 = 610 x 1 + 335
Step 2: Since the reminder 610 ≠ 0, we apply division lemma to 335 and 610, to get
610 = 335 x 1 + 275
Step 3: We consider the new divisor 335 and the new remainder 275, and apply the division lemma to get
335 = 275 x 1 + 60
We consider the new divisor 275 and the new remainder 60,and apply the division lemma to get
275 = 60 x 4 + 35
We consider the new divisor 60 and the new remainder 35,and apply the division lemma to get
60 = 35 x 1 + 25
We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get
35 = 25 x 1 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 610 and 945 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(60,35) = HCF(275,60) = HCF(335,275) = HCF(610,335) = HCF(945,610) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 960 > 5, we apply the division lemma to 960 and 5, to get
960 = 5 x 192 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 960 is 5
Notice that 5 = HCF(960,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 426 > 5, we apply the division lemma to 426 and 5, to get
426 = 5 x 85 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 426 is 1
Notice that 1 = HCF(5,1) = HCF(426,5) .
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Frequently Asked Questions on HCF of 610, 945, 960, 426 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 610, 945, 960, 426?
Answer: HCF of 610, 945, 960, 426 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 610, 945, 960, 426 using Euclid's Algorithm?
Answer: For arbitrary numbers 610, 945, 960, 426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
