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 904, 570, 642 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 570, 642 is 2 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 904, 570, 642 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 904, 570, 642 is 2.
HCF(904, 570, 642) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 904, 570, 642 is 2.
Step 1: Since 904 > 570, we apply the division lemma to 904 and 570, to get
904 = 570 x 1 + 334
Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 334 and 570, to get
570 = 334 x 1 + 236
Step 3: We consider the new divisor 334 and the new remainder 236, and apply the division lemma to get
334 = 236 x 1 + 98
We consider the new divisor 236 and the new remainder 98,and apply the division lemma to get
236 = 98 x 2 + 40
We consider the new divisor 98 and the new remainder 40,and apply the division lemma to get
98 = 40 x 2 + 18
We consider the new divisor 40 and the new remainder 18,and apply the division lemma to get
40 = 18 x 2 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 904 and 570 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(98,40) = HCF(236,98) = HCF(334,236) = HCF(570,334) = HCF(904,570) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 642 > 2, we apply the division lemma to 642 and 2, to get
642 = 2 x 321 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 642 is 2
Notice that 2 = HCF(642,2) .
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 904, 570, 642?
Answer: HCF of 904, 570, 642 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 570, 642 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 570, 642 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.