Highest Common Factor of 4754, 3328, 37964 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 4754, 3328, 37964 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4754, 3328, 37964 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 4754, 3328, 37964 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 4754, 3328, 37964 is 2.
HCF(4754, 3328, 37964) = 2
HCF of 4754, 3328, 37964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4754, 3328, 37964 is 2.
Highest Common Factor of 4754,3328,37964 is 2
Step 1: Since 4754 > 3328, we apply the division lemma to 4754 and 3328, to get
4754 = 3328 x 1 + 1426
Step 2: Since the reminder 3328 ≠ 0, we apply division lemma to 1426 and 3328, to get
3328 = 1426 x 2 + 476
Step 3: We consider the new divisor 1426 and the new remainder 476, and apply the division lemma to get
1426 = 476 x 2 + 474
We consider the new divisor 476 and the new remainder 474,and apply the division lemma to get
476 = 474 x 1 + 2
We consider the new divisor 474 and the new remainder 2,and apply the division lemma to get
474 = 2 x 237 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4754 and 3328 is 2
Notice that 2 = HCF(474,2) = HCF(476,474) = HCF(1426,476) = HCF(3328,1426) = HCF(4754,3328) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37964 > 2, we apply the division lemma to 37964 and 2, to get
37964 = 2 x 18982 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 37964 is 2
Notice that 2 = HCF(37964,2) .
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Frequently Asked Questions on HCF of 4754, 3328, 37964 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 4754, 3328, 37964?
Answer: HCF of 4754, 3328, 37964 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4754, 3328, 37964 using Euclid's Algorithm?
Answer: For arbitrary numbers 4754, 3328, 37964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.