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 4318, 7945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4318, 7945 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 4318, 7945 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 4318, 7945 is 1.
HCF(4318, 7945) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4318, 7945 is 1.
Step 1: Since 7945 > 4318, we apply the division lemma to 7945 and 4318, to get
7945 = 4318 x 1 + 3627
Step 2: Since the reminder 4318 ≠ 0, we apply division lemma to 3627 and 4318, to get
4318 = 3627 x 1 + 691
Step 3: We consider the new divisor 3627 and the new remainder 691, and apply the division lemma to get
3627 = 691 x 5 + 172
We consider the new divisor 691 and the new remainder 172,and apply the division lemma to get
691 = 172 x 4 + 3
We consider the new divisor 172 and the new remainder 3,and apply the division lemma to get
172 = 3 x 57 + 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 4318 and 7945 is 1
Notice that 1 = HCF(3,1) = HCF(172,3) = HCF(691,172) = HCF(3627,691) = HCF(4318,3627) = HCF(7945,4318) .
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 4318, 7945?
Answer: HCF of 4318, 7945 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4318, 7945 using Euclid's Algorithm?
Answer: For arbitrary numbers 4318, 7945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.