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 969, 52225 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 969, 52225 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 969, 52225 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 969, 52225 is 1.
HCF(969, 52225) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 969, 52225 is 1.
Step 1: Since 52225 > 969, we apply the division lemma to 52225 and 969, to get
52225 = 969 x 53 + 868
Step 2: Since the reminder 969 ≠ 0, we apply division lemma to 868 and 969, to get
969 = 868 x 1 + 101
Step 3: We consider the new divisor 868 and the new remainder 101, and apply the division lemma to get
868 = 101 x 8 + 60
We consider the new divisor 101 and the new remainder 60,and apply the division lemma to get
101 = 60 x 1 + 41
We consider the new divisor 60 and the new remainder 41,and apply the division lemma to get
60 = 41 x 1 + 19
We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get
41 = 19 x 2 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 969 and 52225 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(60,41) = HCF(101,60) = HCF(868,101) = HCF(969,868) = HCF(52225,969) .
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 969, 52225?
Answer: HCF of 969, 52225 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 969, 52225 using Euclid's Algorithm?
Answer: For arbitrary numbers 969, 52225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.