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 528, 4912 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 528, 4912 is 16 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 528, 4912 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 528, 4912 is 16.
HCF(528, 4912) = 16
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 528, 4912 is 16.
Step 1: Since 4912 > 528, we apply the division lemma to 4912 and 528, to get
4912 = 528 x 9 + 160
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 160 and 528, to get
528 = 160 x 3 + 48
Step 3: We consider the new divisor 160 and the new remainder 48, and apply the division lemma to get
160 = 48 x 3 + 16
We consider the new divisor 48 and the new remainder 16, and apply the division lemma to get
48 = 16 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 528 and 4912 is 16
Notice that 16 = HCF(48,16) = HCF(160,48) = HCF(528,160) = HCF(4912,528) .
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 528, 4912?
Answer: HCF of 528, 4912 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 528, 4912 using Euclid's Algorithm?
Answer: For arbitrary numbers 528, 4912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.