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 604, 783, 641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 604, 783, 641 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 604, 783, 641 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 604, 783, 641 is 1.
HCF(604, 783, 641) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 604, 783, 641 is 1.
Step 1: Since 783 > 604, we apply the division lemma to 783 and 604, to get
783 = 604 x 1 + 179
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 179 and 604, to get
604 = 179 x 3 + 67
Step 3: We consider the new divisor 179 and the new remainder 67, and apply the division lemma to get
179 = 67 x 2 + 45
We consider the new divisor 67 and the new remainder 45,and apply the division lemma to get
67 = 45 x 1 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 604 and 783 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(67,45) = HCF(179,67) = HCF(604,179) = HCF(783,604) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 641 > 1, we apply the division lemma to 641 and 1, to get
641 = 1 x 641 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 641 is 1
Notice that 1 = HCF(641,1) .
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 604, 783, 641?
Answer: HCF of 604, 783, 641 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 604, 783, 641 using Euclid's Algorithm?
Answer: For arbitrary numbers 604, 783, 641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.