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 983, 184, 561, 542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 184, 561, 542 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 983, 184, 561, 542 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 983, 184, 561, 542 is 1.
HCF(983, 184, 561, 542) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 184, 561, 542 is 1.
Step 1: Since 983 > 184, we apply the division lemma to 983 and 184, to get
983 = 184 x 5 + 63
Step 2: Since the reminder 184 ≠ 0, we apply division lemma to 63 and 184, to get
184 = 63 x 2 + 58
Step 3: We consider the new divisor 63 and the new remainder 58, and apply the division lemma to get
63 = 58 x 1 + 5
We consider the new divisor 58 and the new remainder 5,and apply the division lemma to get
58 = 5 x 11 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 983 and 184 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(58,5) = HCF(63,58) = HCF(184,63) = HCF(983,184) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 561 > 1, we apply the division lemma to 561 and 1, to get
561 = 1 x 561 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 561 is 1
Notice that 1 = HCF(561,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 542 > 1, we apply the division lemma to 542 and 1, to get
542 = 1 x 542 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 542 is 1
Notice that 1 = HCF(542,1) .
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 983, 184, 561, 542?
Answer: HCF of 983, 184, 561, 542 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 184, 561, 542 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 184, 561, 542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.