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 7852, 4704 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7852, 4704 is 4 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 7852, 4704 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 7852, 4704 is 4.
HCF(7852, 4704) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7852, 4704 is 4.
Step 1: Since 7852 > 4704, we apply the division lemma to 7852 and 4704, to get
7852 = 4704 x 1 + 3148
Step 2: Since the reminder 4704 ≠ 0, we apply division lemma to 3148 and 4704, to get
4704 = 3148 x 1 + 1556
Step 3: We consider the new divisor 3148 and the new remainder 1556, and apply the division lemma to get
3148 = 1556 x 2 + 36
We consider the new divisor 1556 and the new remainder 36,and apply the division lemma to get
1556 = 36 x 43 + 8
We consider the new divisor 36 and the new remainder 8,and apply the division lemma to get
36 = 8 x 4 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7852 and 4704 is 4
Notice that 4 = HCF(8,4) = HCF(36,8) = HCF(1556,36) = HCF(3148,1556) = HCF(4704,3148) = HCF(7852,4704) .
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 7852, 4704?
Answer: HCF of 7852, 4704 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7852, 4704 using Euclid's Algorithm?
Answer: For arbitrary numbers 7852, 4704 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.