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 771, 326, 815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 771, 326, 815 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 771, 326, 815 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 771, 326, 815 is 1.
HCF(771, 326, 815) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 771, 326, 815 is 1.
Step 1: Since 771 > 326, we apply the division lemma to 771 and 326, to get
771 = 326 x 2 + 119
Step 2: Since the reminder 326 ≠ 0, we apply division lemma to 119 and 326, to get
326 = 119 x 2 + 88
Step 3: We consider the new divisor 119 and the new remainder 88, and apply the division lemma to get
119 = 88 x 1 + 31
We consider the new divisor 88 and the new remainder 31,and apply the division lemma to get
88 = 31 x 2 + 26
We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get
31 = 26 x 1 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 771 and 326 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(88,31) = HCF(119,88) = HCF(326,119) = HCF(771,326) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 815 > 1, we apply the division lemma to 815 and 1, to get
815 = 1 x 815 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 815 is 1
Notice that 1 = HCF(815,1) .
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 771, 326, 815?
Answer: HCF of 771, 326, 815 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 771, 326, 815 using Euclid's Algorithm?
Answer: For arbitrary numbers 771, 326, 815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.