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 772, 999, 480, 220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 999, 480, 220 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 772, 999, 480, 220 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 772, 999, 480, 220 is 1.
HCF(772, 999, 480, 220) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 999, 480, 220 is 1.
Step 1: Since 999 > 772, we apply the division lemma to 999 and 772, to get
999 = 772 x 1 + 227
Step 2: Since the reminder 772 ≠ 0, we apply division lemma to 227 and 772, to get
772 = 227 x 3 + 91
Step 3: We consider the new divisor 227 and the new remainder 91, and apply the division lemma to get
227 = 91 x 2 + 45
We consider the new divisor 91 and the new remainder 45,and apply the division lemma to get
91 = 45 x 2 + 1
We consider the new divisor 45 and the new remainder 1,and apply the division lemma to get
45 = 1 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 772 and 999 is 1
Notice that 1 = HCF(45,1) = HCF(91,45) = HCF(227,91) = HCF(772,227) = HCF(999,772) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 480 > 1, we apply the division lemma to 480 and 1, to get
480 = 1 x 480 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 480 is 1
Notice that 1 = HCF(480,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 220 > 1, we apply the division lemma to 220 and 1, to get
220 = 1 x 220 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 220 is 1
Notice that 1 = HCF(220,1) .
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 772, 999, 480, 220?
Answer: HCF of 772, 999, 480, 220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 999, 480, 220 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 999, 480, 220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.