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 975, 430 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 975, 430 is 5 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 975, 430 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 975, 430 is 5.
HCF(975, 430) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 975, 430 is 5.
Step 1: Since 975 > 430, we apply the division lemma to 975 and 430, to get
975 = 430 x 2 + 115
Step 2: Since the reminder 430 ≠ 0, we apply division lemma to 115 and 430, to get
430 = 115 x 3 + 85
Step 3: We consider the new divisor 115 and the new remainder 85, and apply the division lemma to get
115 = 85 x 1 + 30
We consider the new divisor 85 and the new remainder 30,and apply the division lemma to get
85 = 30 x 2 + 25
We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get
30 = 25 x 1 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 975 and 430 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(85,30) = HCF(115,85) = HCF(430,115) = HCF(975,430) .
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 975, 430?
Answer: HCF of 975, 430 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 975, 430 using Euclid's Algorithm?
Answer: For arbitrary numbers 975, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.