Highest Common Factor of 845, 320, 788, 90 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 845, 320, 788, 90 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 320, 788, 90 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 845, 320, 788, 90 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 845, 320, 788, 90 is 1.
HCF(845, 320, 788, 90) = 1
HCF of 845, 320, 788, 90 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 845, 320, 788, 90 is 1.
Highest Common Factor of 845,320,788,90 is 1
Step 1: Since 845 > 320, we apply the division lemma to 845 and 320, to get
845 = 320 x 2 + 205
Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 205 and 320, to get
320 = 205 x 1 + 115
Step 3: We consider the new divisor 205 and the new remainder 115, and apply the division lemma to get
205 = 115 x 1 + 90
We consider the new divisor 115 and the new remainder 90,and apply the division lemma to get
115 = 90 x 1 + 25
We consider the new divisor 90 and the new remainder 25,and apply the division lemma to get
90 = 25 x 3 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 845 and 320 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(90,25) = HCF(115,90) = HCF(205,115) = HCF(320,205) = HCF(845,320) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 788 > 5, we apply the division lemma to 788 and 5, to get
788 = 5 x 157 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 5 and 788 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(788,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90 > 1, we apply the division lemma to 90 and 1, to get
90 = 1 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90 is 1
Notice that 1 = HCF(90,1) .
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Frequently Asked Questions on HCF of 845, 320, 788, 90 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 845, 320, 788, 90?
Answer: HCF of 845, 320, 788, 90 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 320, 788, 90 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 320, 788, 90 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.