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 572, 867, 883, 249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 572, 867, 883, 249 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 572, 867, 883, 249 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 572, 867, 883, 249 is 1.
HCF(572, 867, 883, 249) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 572, 867, 883, 249 is 1.
Step 1: Since 867 > 572, we apply the division lemma to 867 and 572, to get
867 = 572 x 1 + 295
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 295 and 572, to get
572 = 295 x 1 + 277
Step 3: We consider the new divisor 295 and the new remainder 277, and apply the division lemma to get
295 = 277 x 1 + 18
We consider the new divisor 277 and the new remainder 18,and apply the division lemma to get
277 = 18 x 15 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 572 and 867 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(277,18) = HCF(295,277) = HCF(572,295) = HCF(867,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 883 > 1, we apply the division lemma to 883 and 1, to get
883 = 1 x 883 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 883 is 1
Notice that 1 = HCF(883,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 249 > 1, we apply the division lemma to 249 and 1, to get
249 = 1 x 249 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 249 is 1
Notice that 1 = HCF(249,1) .
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 572, 867, 883, 249?
Answer: HCF of 572, 867, 883, 249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 572, 867, 883, 249 using Euclid's Algorithm?
Answer: For arbitrary numbers 572, 867, 883, 249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.