Highest Common Factor of 404, 685, 915, 56 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 404, 685, 915, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 404, 685, 915, 56 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 404, 685, 915, 56 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 404, 685, 915, 56 is 1.
HCF(404, 685, 915, 56) = 1
HCF of 404, 685, 915, 56 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 404, 685, 915, 56 is 1.
Highest Common Factor of 404,685,915,56 is 1
Step 1: Since 685 > 404, we apply the division lemma to 685 and 404, to get
685 = 404 x 1 + 281
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 281 and 404, to get
404 = 281 x 1 + 123
Step 3: We consider the new divisor 281 and the new remainder 123, and apply the division lemma to get
281 = 123 x 2 + 35
We consider the new divisor 123 and the new remainder 35,and apply the division lemma to get
123 = 35 x 3 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 404 and 685 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(123,35) = HCF(281,123) = HCF(404,281) = HCF(685,404) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 915 > 1, we apply the division lemma to 915 and 1, to get
915 = 1 x 915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 915 is 1
Notice that 1 = HCF(915,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1
Notice that 1 = HCF(56,1) .
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Frequently Asked Questions on HCF of 404, 685, 915, 56 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 404, 685, 915, 56?
Answer: HCF of 404, 685, 915, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 404, 685, 915, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 404, 685, 915, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.