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 802, 457, 784, 62 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 802, 457, 784, 62 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 802, 457, 784, 62 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 802, 457, 784, 62 is 1.
HCF(802, 457, 784, 62) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 802, 457, 784, 62 is 1.
Step 1: Since 802 > 457, we apply the division lemma to 802 and 457, to get
802 = 457 x 1 + 345
Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 345 and 457, to get
457 = 345 x 1 + 112
Step 3: We consider the new divisor 345 and the new remainder 112, and apply the division lemma to get
345 = 112 x 3 + 9
We consider the new divisor 112 and the new remainder 9,and apply the division lemma to get
112 = 9 x 12 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 802 and 457 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(112,9) = HCF(345,112) = HCF(457,345) = HCF(802,457) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 784 > 1, we apply the division lemma to 784 and 1, to get
784 = 1 x 784 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 784 is 1
Notice that 1 = HCF(784,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62 > 1, we apply the division lemma to 62 and 1, to get
62 = 1 x 62 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62 is 1
Notice that 1 = HCF(62,1) .
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 802, 457, 784, 62?
Answer: HCF of 802, 457, 784, 62 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 802, 457, 784, 62 using Euclid's Algorithm?
Answer: For arbitrary numbers 802, 457, 784, 62 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.