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 744, 2530, 3560 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 2530, 3560 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 744, 2530, 3560 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 744, 2530, 3560 is 2.
HCF(744, 2530, 3560) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 2530, 3560 is 2.
Step 1: Since 2530 > 744, we apply the division lemma to 2530 and 744, to get
2530 = 744 x 3 + 298
Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 298 and 744, to get
744 = 298 x 2 + 148
Step 3: We consider the new divisor 298 and the new remainder 148, and apply the division lemma to get
298 = 148 x 2 + 2
We consider the new divisor 148 and the new remainder 2, and apply the division lemma to get
148 = 2 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 744 and 2530 is 2
Notice that 2 = HCF(148,2) = HCF(298,148) = HCF(744,298) = HCF(2530,744) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3560 > 2, we apply the division lemma to 3560 and 2, to get
3560 = 2 x 1780 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 3560 is 2
Notice that 2 = HCF(3560,2) .
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 744, 2530, 3560?
Answer: HCF of 744, 2530, 3560 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 2530, 3560 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 2530, 3560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.