Highest Common Factor of 904, 324, 771 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 904, 324, 771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 324, 771 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 904, 324, 771 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 904, 324, 771 is 1.
HCF(904, 324, 771) = 1
HCF of 904, 324, 771 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 904, 324, 771 is 1.
Highest Common Factor of 904,324,771 is 1
Step 1: Since 904 > 324, we apply the division lemma to 904 and 324, to get
904 = 324 x 2 + 256
Step 2: Since the reminder 324 ≠ 0, we apply division lemma to 256 and 324, to get
324 = 256 x 1 + 68
Step 3: We consider the new divisor 256 and the new remainder 68, and apply the division lemma to get
256 = 68 x 3 + 52
We consider the new divisor 68 and the new remainder 52,and apply the division lemma to get
68 = 52 x 1 + 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 904 and 324 is 4
Notice that 4 = HCF(16,4) = HCF(52,16) = HCF(68,52) = HCF(256,68) = HCF(324,256) = HCF(904,324) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 771 > 4, we apply the division lemma to 771 and 4, to get
771 = 4 x 192 + 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 771 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(771,4) .
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Frequently Asked Questions on HCF of 904, 324, 771 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 904, 324, 771?
Answer: HCF of 904, 324, 771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 324, 771 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 324, 771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.