Highest Common Factor of 3904, 7500, 33896 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 3904, 7500, 33896 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3904, 7500, 33896 is 4 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 3904, 7500, 33896 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 3904, 7500, 33896 is 4.
HCF(3904, 7500, 33896) = 4
HCF of 3904, 7500, 33896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3904, 7500, 33896 is 4.
Highest Common Factor of 3904,7500,33896 is 4
Step 1: Since 7500 > 3904, we apply the division lemma to 7500 and 3904, to get
7500 = 3904 x 1 + 3596
Step 2: Since the reminder 3904 ≠ 0, we apply division lemma to 3596 and 3904, to get
3904 = 3596 x 1 + 308
Step 3: We consider the new divisor 3596 and the new remainder 308, and apply the division lemma to get
3596 = 308 x 11 + 208
We consider the new divisor 308 and the new remainder 208,and apply the division lemma to get
308 = 208 x 1 + 100
We consider the new divisor 208 and the new remainder 100,and apply the division lemma to get
208 = 100 x 2 + 8
We consider the new divisor 100 and the new remainder 8,and apply the division lemma to get
100 = 8 x 12 + 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 3904 and 7500 is 4
Notice that 4 = HCF(8,4) = HCF(100,8) = HCF(208,100) = HCF(308,208) = HCF(3596,308) = HCF(3904,3596) = HCF(7500,3904) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33896 > 4, we apply the division lemma to 33896 and 4, to get
33896 = 4 x 8474 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 33896 is 4
Notice that 4 = HCF(33896,4) .
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Frequently Asked Questions on HCF of 3904, 7500, 33896 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 3904, 7500, 33896?
Answer: HCF of 3904, 7500, 33896 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3904, 7500, 33896 using Euclid's Algorithm?
Answer: For arbitrary numbers 3904, 7500, 33896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.