Highest Common Factor of 320, 848, 267 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 320, 848, 267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 320, 848, 267 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 320, 848, 267 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 320, 848, 267 is 1.
HCF(320, 848, 267) = 1
HCF of 320, 848, 267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 320, 848, 267 is 1.
Highest Common Factor of 320,848,267 is 1
Step 1: Since 848 > 320, we apply the division lemma to 848 and 320, to get
848 = 320 x 2 + 208
Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 208 and 320, to get
320 = 208 x 1 + 112
Step 3: We consider the new divisor 208 and the new remainder 112, and apply the division lemma to get
208 = 112 x 1 + 96
We consider the new divisor 112 and the new remainder 96,and apply the division lemma to get
112 = 96 x 1 + 16
We consider the new divisor 96 and the new remainder 16,and apply the division lemma to get
96 = 16 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 320 and 848 is 16
Notice that 16 = HCF(96,16) = HCF(112,96) = HCF(208,112) = HCF(320,208) = HCF(848,320) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 267 > 16, we apply the division lemma to 267 and 16, to get
267 = 16 x 16 + 11
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 11 and 16, to get
16 = 11 x 1 + 5
Step 3: We consider the new divisor 11 and the new remainder 5, and apply the division lemma to get
11 = 5 x 2 + 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 16 and 267 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(267,16) .
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Frequently Asked Questions on HCF of 320, 848, 267 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 320, 848, 267?
Answer: HCF of 320, 848, 267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 320, 848, 267 using Euclid's Algorithm?
Answer: For arbitrary numbers 320, 848, 267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
