Highest Common Factor of 614, 887, 406, 60 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 614, 887, 406, 60 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 614, 887, 406, 60 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 614, 887, 406, 60 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 614, 887, 406, 60 is 1.
HCF(614, 887, 406, 60) = 1
HCF of 614, 887, 406, 60 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 614, 887, 406, 60 is 1.
Highest Common Factor of 614,887,406,60 is 1
Step 1: Since 887 > 614, we apply the division lemma to 887 and 614, to get
887 = 614 x 1 + 273
Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 273 and 614, to get
614 = 273 x 2 + 68
Step 3: We consider the new divisor 273 and the new remainder 68, and apply the division lemma to get
273 = 68 x 4 + 1
We consider the new divisor 68 and the new remainder 1, and apply the division lemma to get
68 = 1 x 68 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 614 and 887 is 1
Notice that 1 = HCF(68,1) = HCF(273,68) = HCF(614,273) = HCF(887,614) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 406 > 1, we apply the division lemma to 406 and 1, to get
406 = 1 x 406 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 406 is 1
Notice that 1 = HCF(406,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 1, we apply the division lemma to 60 and 1, to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60 is 1
Notice that 1 = HCF(60,1) .
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Frequently Asked Questions on HCF of 614, 887, 406, 60 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 614, 887, 406, 60?
Answer: HCF of 614, 887, 406, 60 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 614, 887, 406, 60 using Euclid's Algorithm?
Answer: For arbitrary numbers 614, 887, 406, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.