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 698, 424, 570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 698, 424, 570 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 698, 424, 570 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 698, 424, 570 is 2.
HCF(698, 424, 570) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 698, 424, 570 is 2.
Step 1: Since 698 > 424, we apply the division lemma to 698 and 424, to get
698 = 424 x 1 + 274
Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 274 and 424, to get
424 = 274 x 1 + 150
Step 3: We consider the new divisor 274 and the new remainder 150, and apply the division lemma to get
274 = 150 x 1 + 124
We consider the new divisor 150 and the new remainder 124,and apply the division lemma to get
150 = 124 x 1 + 26
We consider the new divisor 124 and the new remainder 26,and apply the division lemma to get
124 = 26 x 4 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 698 and 424 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(124,26) = HCF(150,124) = HCF(274,150) = HCF(424,274) = HCF(698,424) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 570 > 2, we apply the division lemma to 570 and 2, to get
570 = 2 x 285 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 570 is 2
Notice that 2 = HCF(570,2) .
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 698, 424, 570?
Answer: HCF of 698, 424, 570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 698, 424, 570 using Euclid's Algorithm?
Answer: For arbitrary numbers 698, 424, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.