Highest Common Factor of 904, 3352, 1928 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, 3352, 1928 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 3352, 1928 is 8 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, 3352, 1928 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, 3352, 1928 is 8.
HCF(904, 3352, 1928) = 8
HCF of 904, 3352, 1928 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, 3352, 1928 is 8.
Highest Common Factor of 904,3352,1928 is 8
Step 1: Since 3352 > 904, we apply the division lemma to 3352 and 904, to get
3352 = 904 x 3 + 640
Step 2: Since the reminder 904 ≠ 0, we apply division lemma to 640 and 904, to get
904 = 640 x 1 + 264
Step 3: We consider the new divisor 640 and the new remainder 264, and apply the division lemma to get
640 = 264 x 2 + 112
We consider the new divisor 264 and the new remainder 112,and apply the division lemma to get
264 = 112 x 2 + 40
We consider the new divisor 112 and the new remainder 40,and apply the division lemma to get
112 = 40 x 2 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 904 and 3352 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(112,40) = HCF(264,112) = HCF(640,264) = HCF(904,640) = HCF(3352,904) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1928 > 8, we apply the division lemma to 1928 and 8, to get
1928 = 8 x 241 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8 and 1928 is 8
Notice that 8 = HCF(1928,8) .
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Frequently Asked Questions on HCF of 904, 3352, 1928 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, 3352, 1928?
Answer: HCF of 904, 3352, 1928 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 3352, 1928 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 3352, 1928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.