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 7279, 3301, 77769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7279, 3301, 77769 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 7279, 3301, 77769 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 7279, 3301, 77769 is 1.
HCF(7279, 3301, 77769) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7279, 3301, 77769 is 1.
Step 1: Since 7279 > 3301, we apply the division lemma to 7279 and 3301, to get
7279 = 3301 x 2 + 677
Step 2: Since the reminder 3301 ≠ 0, we apply division lemma to 677 and 3301, to get
3301 = 677 x 4 + 593
Step 3: We consider the new divisor 677 and the new remainder 593, and apply the division lemma to get
677 = 593 x 1 + 84
We consider the new divisor 593 and the new remainder 84,and apply the division lemma to get
593 = 84 x 7 + 5
We consider the new divisor 84 and the new remainder 5,and apply the division lemma to get
84 = 5 x 16 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7279 and 3301 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(84,5) = HCF(593,84) = HCF(677,593) = HCF(3301,677) = HCF(7279,3301) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77769 > 1, we apply the division lemma to 77769 and 1, to get
77769 = 1 x 77769 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77769 is 1
Notice that 1 = HCF(77769,1) .
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 7279, 3301, 77769?
Answer: HCF of 7279, 3301, 77769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7279, 3301, 77769 using Euclid's Algorithm?
Answer: For arbitrary numbers 7279, 3301, 77769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.