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 769, 990, 447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 769, 990, 447 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 769, 990, 447 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 769, 990, 447 is 1.
HCF(769, 990, 447) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 769, 990, 447 is 1.
Step 1: Since 990 > 769, we apply the division lemma to 990 and 769, to get
990 = 769 x 1 + 221
Step 2: Since the reminder 769 ≠ 0, we apply division lemma to 221 and 769, to get
769 = 221 x 3 + 106
Step 3: We consider the new divisor 221 and the new remainder 106, and apply the division lemma to get
221 = 106 x 2 + 9
We consider the new divisor 106 and the new remainder 9,and apply the division lemma to get
106 = 9 x 11 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 769 and 990 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(106,9) = HCF(221,106) = HCF(769,221) = HCF(990,769) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 447 > 1, we apply the division lemma to 447 and 1, to get
447 = 1 x 447 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 447 is 1
Notice that 1 = HCF(447,1) .
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 769, 990, 447?
Answer: HCF of 769, 990, 447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 769, 990, 447 using Euclid's Algorithm?
Answer: For arbitrary numbers 769, 990, 447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.