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 276, 707, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 276, 707, 29 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 276, 707, 29 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 276, 707, 29 is 1.
HCF(276, 707, 29) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 276, 707, 29 is 1.
Step 1: Since 707 > 276, we apply the division lemma to 707 and 276, to get
707 = 276 x 2 + 155
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 155 and 276, to get
276 = 155 x 1 + 121
Step 3: We consider the new divisor 155 and the new remainder 121, and apply the division lemma to get
155 = 121 x 1 + 34
We consider the new divisor 121 and the new remainder 34,and apply the division lemma to get
121 = 34 x 3 + 19
We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get
34 = 19 x 1 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 276 and 707 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(121,34) = HCF(155,121) = HCF(276,155) = HCF(707,276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1
Notice that 1 = HCF(29,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 276, 707, 29?
Answer: HCF of 276, 707, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 276, 707, 29 using Euclid's Algorithm?
Answer: For arbitrary numbers 276, 707, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.