Highest Common Factor of 983, 753, 659, 574 using Euclid's algorithm
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, 753, 659, 574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 753, 659, 574 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, 753, 659, 574 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, 753, 659, 574 is 1.
HCF(983, 753, 659, 574) = 1
HCF of 983, 753, 659, 574 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 753, 659, 574 is 1.
Highest Common Factor of 983,753,659,574 is 1
Step 1: Since 983 > 753, we apply the division lemma to 983 and 753, to get
983 = 753 x 1 + 230
Step 2: Since the reminder 753 ≠ 0, we apply division lemma to 230 and 753, to get
753 = 230 x 3 + 63
Step 3: We consider the new divisor 230 and the new remainder 63, and apply the division lemma to get
230 = 63 x 3 + 41
We consider the new divisor 63 and the new remainder 41,and apply the division lemma to get
63 = 41 x 1 + 22
We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get
41 = 22 x 1 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 983 and 753 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(63,41) = HCF(230,63) = HCF(753,230) = HCF(983,753) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 659 > 1, we apply the division lemma to 659 and 1, to get
659 = 1 x 659 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 659 is 1
Notice that 1 = HCF(659,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 574 > 1, we apply the division lemma to 574 and 1, to get
574 = 1 x 574 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 574 is 1
Notice that 1 = HCF(574,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 983, 753, 659, 574 using Euclid's Algorithm
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, 753, 659, 574?
Answer: HCF of 983, 753, 659, 574 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 753, 659, 574 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 753, 659, 574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.