Highest Common Factor of 413, 711, 85, 802 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 413, 711, 85, 802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 413, 711, 85, 802 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 413, 711, 85, 802 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 413, 711, 85, 802 is 1.
HCF(413, 711, 85, 802) = 1
HCF of 413, 711, 85, 802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 413, 711, 85, 802 is 1.
Highest Common Factor of 413,711,85,802 is 1
Step 1: Since 711 > 413, we apply the division lemma to 711 and 413, to get
711 = 413 x 1 + 298
Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 298 and 413, to get
413 = 298 x 1 + 115
Step 3: We consider the new divisor 298 and the new remainder 115, and apply the division lemma to get
298 = 115 x 2 + 68
We consider the new divisor 115 and the new remainder 68,and apply the division lemma to get
115 = 68 x 1 + 47
We consider the new divisor 68 and the new remainder 47,and apply the division lemma to get
68 = 47 x 1 + 21
We consider the new divisor 47 and the new remainder 21,and apply the division lemma to get
47 = 21 x 2 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 413 and 711 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(47,21) = HCF(68,47) = HCF(115,68) = HCF(298,115) = HCF(413,298) = HCF(711,413) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 85 > 1, we apply the division lemma to 85 and 1, to get
85 = 1 x 85 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85 is 1
Notice that 1 = HCF(85,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 802 > 1, we apply the division lemma to 802 and 1, to get
802 = 1 x 802 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 802 is 1
Notice that 1 = HCF(802,1) .
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Frequently Asked Questions on HCF of 413, 711, 85, 802 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 413, 711, 85, 802?
Answer: HCF of 413, 711, 85, 802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 413, 711, 85, 802 using Euclid's Algorithm?
Answer: For arbitrary numbers 413, 711, 85, 802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.