Highest Common Factor of 904, 704, 962 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, 704, 962 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 704, 962 is 2 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, 704, 962 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, 704, 962 is 2.
HCF(904, 704, 962) = 2
HCF of 904, 704, 962 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, 704, 962 is 2.
Highest Common Factor of 904,704,962 is 2
Step 1: Since 904 > 704, we apply the division lemma to 904 and 704, to get
904 = 704 x 1 + 200
Step 2: Since the reminder 704 ≠ 0, we apply division lemma to 200 and 704, to get
704 = 200 x 3 + 104
Step 3: We consider the new divisor 200 and the new remainder 104, and apply the division lemma to get
200 = 104 x 1 + 96
We consider the new divisor 104 and the new remainder 96,and apply the division lemma to get
104 = 96 x 1 + 8
We consider the new divisor 96 and the new remainder 8,and apply the division lemma to get
96 = 8 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 904 and 704 is 8
Notice that 8 = HCF(96,8) = HCF(104,96) = HCF(200,104) = HCF(704,200) = HCF(904,704) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 962 > 8, we apply the division lemma to 962 and 8, to get
962 = 8 x 120 + 2
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 2 and 8, to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 962 is 2
Notice that 2 = HCF(8,2) = HCF(962,8) .
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Frequently Asked Questions on HCF of 904, 704, 962 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, 704, 962?
Answer: HCF of 904, 704, 962 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 704, 962 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 704, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.