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 779, 901, 838 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 779, 901, 838 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 779, 901, 838 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 779, 901, 838 is 1.
HCF(779, 901, 838) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 779, 901, 838 is 1.
Step 1: Since 901 > 779, we apply the division lemma to 901 and 779, to get
901 = 779 x 1 + 122
Step 2: Since the reminder 779 ≠ 0, we apply division lemma to 122 and 779, to get
779 = 122 x 6 + 47
Step 3: We consider the new divisor 122 and the new remainder 47, and apply the division lemma to get
122 = 47 x 2 + 28
We consider the new divisor 47 and the new remainder 28,and apply the division lemma to get
47 = 28 x 1 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 779 and 901 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(47,28) = HCF(122,47) = HCF(779,122) = HCF(901,779) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 838 > 1, we apply the division lemma to 838 and 1, to get
838 = 1 x 838 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 838 is 1
Notice that 1 = HCF(838,1) .
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 779, 901, 838?
Answer: HCF of 779, 901, 838 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 779, 901, 838 using Euclid's Algorithm?
Answer: For arbitrary numbers 779, 901, 838 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.