Highest Common Factor of 426, 266, 370 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 426, 266, 370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 426, 266, 370 is 2 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 426, 266, 370 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 426, 266, 370 is 2.
HCF(426, 266, 370) = 2
HCF of 426, 266, 370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 426, 266, 370 is 2.
Highest Common Factor of 426,266,370 is 2
Step 1: Since 426 > 266, we apply the division lemma to 426 and 266, to get
426 = 266 x 1 + 160
Step 2: Since the reminder 266 ≠ 0, we apply division lemma to 160 and 266, to get
266 = 160 x 1 + 106
Step 3: We consider the new divisor 160 and the new remainder 106, and apply the division lemma to get
160 = 106 x 1 + 54
We consider the new divisor 106 and the new remainder 54,and apply the division lemma to get
106 = 54 x 1 + 52
We consider the new divisor 54 and the new remainder 52,and apply the division lemma to get
54 = 52 x 1 + 2
We consider the new divisor 52 and the new remainder 2,and apply the division lemma to get
52 = 2 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 426 and 266 is 2
Notice that 2 = HCF(52,2) = HCF(54,52) = HCF(106,54) = HCF(160,106) = HCF(266,160) = HCF(426,266) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 370 > 2, we apply the division lemma to 370 and 2, to get
370 = 2 x 185 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 370 is 2
Notice that 2 = HCF(370,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 426, 266, 370 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 426, 266, 370?
Answer: HCF of 426, 266, 370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 426, 266, 370 using Euclid's Algorithm?
Answer: For arbitrary numbers 426, 266, 370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
