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 945, 3232, 5025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 945, 3232, 5025 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 945, 3232, 5025 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 945, 3232, 5025 is 1.
HCF(945, 3232, 5025) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 945, 3232, 5025 is 1.
Step 1: Since 3232 > 945, we apply the division lemma to 3232 and 945, to get
3232 = 945 x 3 + 397
Step 2: Since the reminder 945 ≠ 0, we apply division lemma to 397 and 945, to get
945 = 397 x 2 + 151
Step 3: We consider the new divisor 397 and the new remainder 151, and apply the division lemma to get
397 = 151 x 2 + 95
We consider the new divisor 151 and the new remainder 95,and apply the division lemma to get
151 = 95 x 1 + 56
We consider the new divisor 95 and the new remainder 56,and apply the division lemma to get
95 = 56 x 1 + 39
We consider the new divisor 56 and the new remainder 39,and apply the division lemma to get
56 = 39 x 1 + 17
We consider the new divisor 39 and the new remainder 17,and apply the division lemma to get
39 = 17 x 2 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 945 and 3232 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(39,17) = HCF(56,39) = HCF(95,56) = HCF(151,95) = HCF(397,151) = HCF(945,397) = HCF(3232,945) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5025 > 1, we apply the division lemma to 5025 and 1, to get
5025 = 1 x 5025 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5025 is 1
Notice that 1 = HCF(5025,1) .
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 945, 3232, 5025?
Answer: HCF of 945, 3232, 5025 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 945, 3232, 5025 using Euclid's Algorithm?
Answer: For arbitrary numbers 945, 3232, 5025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.