Highest Common Factor of 436, 766, 278 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 436, 766, 278 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 436, 766, 278 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 436, 766, 278 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 436, 766, 278 is 2.
HCF(436, 766, 278) = 2
HCF of 436, 766, 278 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 436, 766, 278 is 2.
Highest Common Factor of 436,766,278 is 2
Step 1: Since 766 > 436, we apply the division lemma to 766 and 436, to get
766 = 436 x 1 + 330
Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 330 and 436, to get
436 = 330 x 1 + 106
Step 3: We consider the new divisor 330 and the new remainder 106, and apply the division lemma to get
330 = 106 x 3 + 12
We consider the new divisor 106 and the new remainder 12,and apply the division lemma to get
106 = 12 x 8 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 436 and 766 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(106,12) = HCF(330,106) = HCF(436,330) = HCF(766,436) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 278 > 2, we apply the division lemma to 278 and 2, to get
278 = 2 x 139 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 278 is 2
Notice that 2 = HCF(278,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 436, 766, 278 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 436, 766, 278?
Answer: HCF of 436, 766, 278 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 436, 766, 278 using Euclid's Algorithm?
Answer: For arbitrary numbers 436, 766, 278 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.