Highest Common Factor of 675, 94461 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, 94461 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 675, 94461 is 3 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, 94461 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, 94461 is 3.
HCF(675, 94461) = 3
HCF of 675, 94461 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, 94461 is 3.
Highest Common Factor of 675,94461 is 3
Step 1: Since 94461 > 675, we apply the division lemma to 94461 and 675, to get
94461 = 675 x 139 + 636
Step 2: Since the reminder 675 ≠ 0, we apply division lemma to 636 and 675, to get
675 = 636 x 1 + 39
Step 3: We consider the new divisor 636 and the new remainder 39, and apply the division lemma to get
636 = 39 x 16 + 12
We consider the new divisor 39 and the new remainder 12,and apply the division lemma to get
39 = 12 x 3 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 675 and 94461 is 3
Notice that 3 = HCF(12,3) = HCF(39,12) = HCF(636,39) = HCF(675,636) = HCF(94461,675) .
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Frequently Asked Questions on HCF of 675, 94461 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, 94461?
Answer: HCF of 675, 94461 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 675, 94461 using Euclid's Algorithm?
Answer: For arbitrary numbers 675, 94461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
