Highest Common Factor of 438, 269, 915, 80 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 438, 269, 915, 80 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 438, 269, 915, 80 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 438, 269, 915, 80 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 438, 269, 915, 80 is 1.
HCF(438, 269, 915, 80) = 1
HCF of 438, 269, 915, 80 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 438, 269, 915, 80 is 1.
Highest Common Factor of 438,269,915,80 is 1
Step 1: Since 438 > 269, we apply the division lemma to 438 and 269, to get
438 = 269 x 1 + 169
Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 169 and 269, to get
269 = 169 x 1 + 100
Step 3: We consider the new divisor 169 and the new remainder 100, and apply the division lemma to get
169 = 100 x 1 + 69
We consider the new divisor 100 and the new remainder 69,and apply the division lemma to get
100 = 69 x 1 + 31
We consider the new divisor 69 and the new remainder 31,and apply the division lemma to get
69 = 31 x 2 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 438 and 269 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(69,31) = HCF(100,69) = HCF(169,100) = HCF(269,169) = HCF(438,269) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 915 > 1, we apply the division lemma to 915 and 1, to get
915 = 1 x 915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 915 is 1
Notice that 1 = HCF(915,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80 > 1, we apply the division lemma to 80 and 1, to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80 is 1
Notice that 1 = HCF(80,1) .
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Frequently Asked Questions on HCF of 438, 269, 915, 80 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 438, 269, 915, 80?
Answer: HCF of 438, 269, 915, 80 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 438, 269, 915, 80 using Euclid's Algorithm?
Answer: For arbitrary numbers 438, 269, 915, 80 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.