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 710, 8523, 4204 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 710, 8523, 4204 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 710, 8523, 4204 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 710, 8523, 4204 is 1.
HCF(710, 8523, 4204) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 710, 8523, 4204 is 1.
Step 1: Since 8523 > 710, we apply the division lemma to 8523 and 710, to get
8523 = 710 x 12 + 3
Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 3 and 710, to get
710 = 3 x 236 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 710 and 8523 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(710,3) = HCF(8523,710) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4204 > 1, we apply the division lemma to 4204 and 1, to get
4204 = 1 x 4204 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4204 is 1
Notice that 1 = HCF(4204,1) .
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 710, 8523, 4204?
Answer: HCF of 710, 8523, 4204 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 710, 8523, 4204 using Euclid's Algorithm?
Answer: For arbitrary numbers 710, 8523, 4204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.