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 4297, 3375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4297, 3375 is 1 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 4297, 3375 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 4297, 3375 is 1.
HCF(4297, 3375) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4297, 3375 is 1.
Step 1: Since 4297 > 3375, we apply the division lemma to 4297 and 3375, to get
4297 = 3375 x 1 + 922
Step 2: Since the reminder 3375 ≠ 0, we apply division lemma to 922 and 3375, to get
3375 = 922 x 3 + 609
Step 3: We consider the new divisor 922 and the new remainder 609, and apply the division lemma to get
922 = 609 x 1 + 313
We consider the new divisor 609 and the new remainder 313,and apply the division lemma to get
609 = 313 x 1 + 296
We consider the new divisor 313 and the new remainder 296,and apply the division lemma to get
313 = 296 x 1 + 17
We consider the new divisor 296 and the new remainder 17,and apply the division lemma to get
296 = 17 x 17 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4297 and 3375 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(296,17) = HCF(313,296) = HCF(609,313) = HCF(922,609) = HCF(3375,922) = HCF(4297,3375) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4297, 3375?
Answer: HCF of 4297, 3375 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4297, 3375 using Euclid's Algorithm?
Answer: For arbitrary numbers 4297, 3375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.