Highest Common Factor of 5757, 3954 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 5757, 3954 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5757, 3954 is 3 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 5757, 3954 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 5757, 3954 is 3.
HCF(5757, 3954) = 3
HCF of 5757, 3954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5757, 3954 is 3.
Highest Common Factor of 5757,3954 is 3
Step 1: Since 5757 > 3954, we apply the division lemma to 5757 and 3954, to get
5757 = 3954 x 1 + 1803
Step 2: Since the reminder 3954 ≠ 0, we apply division lemma to 1803 and 3954, to get
3954 = 1803 x 2 + 348
Step 3: We consider the new divisor 1803 and the new remainder 348, and apply the division lemma to get
1803 = 348 x 5 + 63
We consider the new divisor 348 and the new remainder 63,and apply the division lemma to get
348 = 63 x 5 + 33
We consider the new divisor 63 and the new remainder 33,and apply the division lemma to get
63 = 33 x 1 + 30
We consider the new divisor 33 and the new remainder 30,and apply the division lemma to get
33 = 30 x 1 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5757 and 3954 is 3
Notice that 3 = HCF(30,3) = HCF(33,30) = HCF(63,33) = HCF(348,63) = HCF(1803,348) = HCF(3954,1803) = HCF(5757,3954) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5757, 3954 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 5757, 3954?
Answer: HCF of 5757, 3954 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5757, 3954 using Euclid's Algorithm?
Answer: For arbitrary numbers 5757, 3954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.