Highest Common Factor of 641, 904, 285, 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 641, 904, 285, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 641, 904, 285, 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 641, 904, 285, 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 641, 904, 285, 56 is 1.
HCF(641, 904, 285, 56) = 1
HCF of 641, 904, 285, 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 641, 904, 285, 56 is 1.
Highest Common Factor of 641,904,285,56 is 1
Step 1: Since 904 > 641, we apply the division lemma to 904 and 641, to get
904 = 641 x 1 + 263
Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 263 and 641, to get
641 = 263 x 2 + 115
Step 3: We consider the new divisor 263 and the new remainder 115, and apply the division lemma to get
263 = 115 x 2 + 33
We consider the new divisor 115 and the new remainder 33,and apply the division lemma to get
115 = 33 x 3 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 641 and 904 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(115,33) = HCF(263,115) = HCF(641,263) = HCF(904,641) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 285 > 1, we apply the division lemma to 285 and 1, to get
285 = 1 x 285 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 285 is 1
Notice that 1 = HCF(285,1) .
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 641, 904, 285, 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 641, 904, 285, 56?
Answer: HCF of 641, 904, 285, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 641, 904, 285, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 641, 904, 285, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.