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, 952, 809, 844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 604, 952, 809, 844 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, 952, 809, 844 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, 952, 809, 844 is 1.
HCF(604, 952, 809, 844) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 604, 952, 809, 844 is 1.
Step 1: Since 952 > 604, we apply the division lemma to 952 and 604, to get
952 = 604 x 1 + 348
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 348 and 604, to get
604 = 348 x 1 + 256
Step 3: We consider the new divisor 348 and the new remainder 256, and apply the division lemma to get
348 = 256 x 1 + 92
We consider the new divisor 256 and the new remainder 92,and apply the division lemma to get
256 = 92 x 2 + 72
We consider the new divisor 92 and the new remainder 72,and apply the division lemma to get
92 = 72 x 1 + 20
We consider the new divisor 72 and the new remainder 20,and apply the division lemma to get
72 = 20 x 3 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 604 and 952 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(72,20) = HCF(92,72) = HCF(256,92) = HCF(348,256) = HCF(604,348) = HCF(952,604) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 809 > 4, we apply the division lemma to 809 and 4, to get
809 = 4 x 202 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 809 is 1
Notice that 1 = HCF(4,1) = HCF(809,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 844 > 1, we apply the division lemma to 844 and 1, to get
844 = 1 x 844 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 844 is 1
Notice that 1 = HCF(844,1) .
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, 952, 809, 844?
Answer: HCF of 604, 952, 809, 844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 604, 952, 809, 844 using Euclid's Algorithm?
Answer: For arbitrary numbers 604, 952, 809, 844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.