Highest Common Factor of 474, 556, 783, 81 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 474, 556, 783, 81 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 474, 556, 783, 81 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 474, 556, 783, 81 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 474, 556, 783, 81 is 1.
HCF(474, 556, 783, 81) = 1
HCF of 474, 556, 783, 81 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 474, 556, 783, 81 is 1.
Highest Common Factor of 474,556,783,81 is 1
Step 1: Since 556 > 474, we apply the division lemma to 556 and 474, to get
556 = 474 x 1 + 82
Step 2: Since the reminder 474 ≠ 0, we apply division lemma to 82 and 474, to get
474 = 82 x 5 + 64
Step 3: We consider the new divisor 82 and the new remainder 64, and apply the division lemma to get
82 = 64 x 1 + 18
We consider the new divisor 64 and the new remainder 18,and apply the division lemma to get
64 = 18 x 3 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 474 and 556 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(64,18) = HCF(82,64) = HCF(474,82) = HCF(556,474) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 783 > 2, we apply the division lemma to 783 and 2, to get
783 = 2 x 391 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 783 is 1
Notice that 1 = HCF(2,1) = HCF(783,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1
Notice that 1 = HCF(81,1) .
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Frequently Asked Questions on HCF of 474, 556, 783, 81 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 474, 556, 783, 81?
Answer: HCF of 474, 556, 783, 81 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 474, 556, 783, 81 using Euclid's Algorithm?
Answer: For arbitrary numbers 474, 556, 783, 81 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.