Highest Common Factor of 266, 142, 742, 79 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 266, 142, 742, 79 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 266, 142, 742, 79 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 266, 142, 742, 79 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 266, 142, 742, 79 is 1.
HCF(266, 142, 742, 79) = 1
HCF of 266, 142, 742, 79 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 266, 142, 742, 79 is 1.
Highest Common Factor of 266,142,742,79 is 1
Step 1: Since 266 > 142, we apply the division lemma to 266 and 142, to get
266 = 142 x 1 + 124
Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 124 and 142, to get
142 = 124 x 1 + 18
Step 3: We consider the new divisor 124 and the new remainder 18, and apply the division lemma to get
124 = 18 x 6 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 266 and 142 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(124,18) = HCF(142,124) = HCF(266,142) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 742 > 2, we apply the division lemma to 742 and 2, to get
742 = 2 x 371 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 742 is 2
Notice that 2 = HCF(742,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 79 > 2, we apply the division lemma to 79 and 2, to get
79 = 2 x 39 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 79 is 1
Notice that 1 = HCF(2,1) = HCF(79,2) .
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Frequently Asked Questions on HCF of 266, 142, 742, 79 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 266, 142, 742, 79?
Answer: HCF of 266, 142, 742, 79 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 266, 142, 742, 79 using Euclid's Algorithm?
Answer: For arbitrary numbers 266, 142, 742, 79 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.