Highest Common Factor of 805, 5603, 1434 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 805, 5603, 1434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 805, 5603, 1434 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 805, 5603, 1434 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 805, 5603, 1434 is 1.
HCF(805, 5603, 1434) = 1
HCF of 805, 5603, 1434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 805, 5603, 1434 is 1.
Highest Common Factor of 805,5603,1434 is 1
Step 1: Since 5603 > 805, we apply the division lemma to 5603 and 805, to get
5603 = 805 x 6 + 773
Step 2: Since the reminder 805 ≠ 0, we apply division lemma to 773 and 805, to get
805 = 773 x 1 + 32
Step 3: We consider the new divisor 773 and the new remainder 32, and apply the division lemma to get
773 = 32 x 24 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 805 and 5603 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(773,32) = HCF(805,773) = HCF(5603,805) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1434 > 1, we apply the division lemma to 1434 and 1, to get
1434 = 1 x 1434 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1434 is 1
Notice that 1 = HCF(1434,1) .
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Frequently Asked Questions on HCF of 805, 5603, 1434 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 805, 5603, 1434?
Answer: HCF of 805, 5603, 1434 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 805, 5603, 1434 using Euclid's Algorithm?
Answer: For arbitrary numbers 805, 5603, 1434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.