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 880, 604, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 604, 983 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 880, 604, 983 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 880, 604, 983 is 1.
HCF(880, 604, 983) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 880, 604, 983 is 1.
Step 1: Since 880 > 604, we apply the division lemma to 880 and 604, to get
880 = 604 x 1 + 276
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 276 and 604, to get
604 = 276 x 2 + 52
Step 3: We consider the new divisor 276 and the new remainder 52, and apply the division lemma to get
276 = 52 x 5 + 16
We consider the new divisor 52 and the new remainder 16,and apply the division lemma to get
52 = 16 x 3 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 880 and 604 is 4
Notice that 4 = HCF(16,4) = HCF(52,16) = HCF(276,52) = HCF(604,276) = HCF(880,604) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 983 > 4, we apply the division lemma to 983 and 4, to get
983 = 4 x 245 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 983 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(983,4) .
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 880, 604, 983?
Answer: HCF of 880, 604, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 604, 983 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 604, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.