Highest Common Factor of 675, 5914, 5254 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 675, 5914, 5254 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 675, 5914, 5254 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 675, 5914, 5254 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 675, 5914, 5254 is 1.
HCF(675, 5914, 5254) = 1
HCF of 675, 5914, 5254 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 675, 5914, 5254 is 1.
Highest Common Factor of 675,5914,5254 is 1
Step 1: Since 5914 > 675, we apply the division lemma to 5914 and 675, to get
5914 = 675 x 8 + 514
Step 2: Since the reminder 675 ≠ 0, we apply division lemma to 514 and 675, to get
675 = 514 x 1 + 161
Step 3: We consider the new divisor 514 and the new remainder 161, and apply the division lemma to get
514 = 161 x 3 + 31
We consider the new divisor 161 and the new remainder 31,and apply the division lemma to get
161 = 31 x 5 + 6
We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get
31 = 6 x 5 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 675 and 5914 is 1
Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(161,31) = HCF(514,161) = HCF(675,514) = HCF(5914,675) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5254 > 1, we apply the division lemma to 5254 and 1, to get
5254 = 1 x 5254 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5254 is 1
Notice that 1 = HCF(5254,1) .
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Frequently Asked Questions on HCF of 675, 5914, 5254 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 675, 5914, 5254?
Answer: HCF of 675, 5914, 5254 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 675, 5914, 5254 using Euclid's Algorithm?
Answer: For arbitrary numbers 675, 5914, 5254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.