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 604, 51573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 604, 51573 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 604, 51573 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 604, 51573 is 1.
HCF(604, 51573) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 604, 51573 is 1.
Step 1: Since 51573 > 604, we apply the division lemma to 51573 and 604, to get
51573 = 604 x 85 + 233
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 233 and 604, to get
604 = 233 x 2 + 138
Step 3: We consider the new divisor 233 and the new remainder 138, and apply the division lemma to get
233 = 138 x 1 + 95
We consider the new divisor 138 and the new remainder 95,and apply the division lemma to get
138 = 95 x 1 + 43
We consider the new divisor 95 and the new remainder 43,and apply the division lemma to get
95 = 43 x 2 + 9
We consider the new divisor 43 and the new remainder 9,and apply the division lemma to get
43 = 9 x 4 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 604 and 51573 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(43,9) = HCF(95,43) = HCF(138,95) = HCF(233,138) = HCF(604,233) = HCF(51573,604) .
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 604, 51573?
Answer: HCF of 604, 51573 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 604, 51573 using Euclid's Algorithm?
Answer: For arbitrary numbers 604, 51573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.