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 628, 800 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 800 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 628, 800 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 628, 800 is 4.
HCF(628, 800) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 800 is 4.
Step 1: Since 800 > 628, we apply the division lemma to 800 and 628, to get
800 = 628 x 1 + 172
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 172 and 628, to get
628 = 172 x 3 + 112
Step 3: We consider the new divisor 172 and the new remainder 112, and apply the division lemma to get
172 = 112 x 1 + 60
We consider the new divisor 112 and the new remainder 60,and apply the division lemma to get
112 = 60 x 1 + 52
We consider the new divisor 60 and the new remainder 52,and apply the division lemma to get
60 = 52 x 1 + 8
We consider the new divisor 52 and the new remainder 8,and apply the division lemma to get
52 = 8 x 6 + 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 628 and 800 is 4
Notice that 4 = HCF(8,4) = HCF(52,8) = HCF(60,52) = HCF(112,60) = HCF(172,112) = HCF(628,172) = HCF(800,628) .
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 628, 800?
Answer: HCF of 628, 800 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 800 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.