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 776, 605, 59 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 776, 605, 59 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 776, 605, 59 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 776, 605, 59 is 1.
HCF(776, 605, 59) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 776, 605, 59 is 1.
Step 1: Since 776 > 605, we apply the division lemma to 776 and 605, to get
776 = 605 x 1 + 171
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 171 and 605, to get
605 = 171 x 3 + 92
Step 3: We consider the new divisor 171 and the new remainder 92, and apply the division lemma to get
171 = 92 x 1 + 79
We consider the new divisor 92 and the new remainder 79,and apply the division lemma to get
92 = 79 x 1 + 13
We consider the new divisor 79 and the new remainder 13,and apply the division lemma to get
79 = 13 x 6 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 776 and 605 is 1
Notice that 1 = HCF(13,1) = HCF(79,13) = HCF(92,79) = HCF(171,92) = HCF(605,171) = HCF(776,605) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59 > 1, we apply the division lemma to 59 and 1, to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59 is 1
Notice that 1 = HCF(59,1) .
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 776, 605, 59?
Answer: HCF of 776, 605, 59 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 776, 605, 59 using Euclid's Algorithm?
Answer: For arbitrary numbers 776, 605, 59 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.