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 870, 544, 783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 870, 544, 783 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 870, 544, 783 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 870, 544, 783 is 1.
HCF(870, 544, 783) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 870, 544, 783 is 1.
Step 1: Since 870 > 544, we apply the division lemma to 870 and 544, to get
870 = 544 x 1 + 326
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 326 and 544, to get
544 = 326 x 1 + 218
Step 3: We consider the new divisor 326 and the new remainder 218, and apply the division lemma to get
326 = 218 x 1 + 108
We consider the new divisor 218 and the new remainder 108,and apply the division lemma to get
218 = 108 x 2 + 2
We consider the new divisor 108 and the new remainder 2,and apply the division lemma to get
108 = 2 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 870 and 544 is 2
Notice that 2 = HCF(108,2) = HCF(218,108) = HCF(326,218) = HCF(544,326) = HCF(870,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 783 > 2, we apply the division lemma to 783 and 2, to get
783 = 2 x 391 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 783 is 1
Notice that 1 = HCF(2,1) = HCF(783,2) .
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 870, 544, 783?
Answer: HCF of 870, 544, 783 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 870, 544, 783 using Euclid's Algorithm?
Answer: For arbitrary numbers 870, 544, 783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.