Highest Common Factor of 2225, 9751 using Euclid's algorithm
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 2225, 9751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2225, 9751 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 2225, 9751 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 2225, 9751 is 1.
HCF(2225, 9751) = 1
HCF of 2225, 9751 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2225, 9751 is 1.
Highest Common Factor of 2225,9751 is 1
Step 1: Since 9751 > 2225, we apply the division lemma to 9751 and 2225, to get
9751 = 2225 x 4 + 851
Step 2: Since the reminder 2225 ≠ 0, we apply division lemma to 851 and 2225, to get
2225 = 851 x 2 + 523
Step 3: We consider the new divisor 851 and the new remainder 523, and apply the division lemma to get
851 = 523 x 1 + 328
We consider the new divisor 523 and the new remainder 328,and apply the division lemma to get
523 = 328 x 1 + 195
We consider the new divisor 328 and the new remainder 195,and apply the division lemma to get
328 = 195 x 1 + 133
We consider the new divisor 195 and the new remainder 133,and apply the division lemma to get
195 = 133 x 1 + 62
We consider the new divisor 133 and the new remainder 62,and apply the division lemma to get
133 = 62 x 2 + 9
We consider the new divisor 62 and the new remainder 9,and apply the division lemma to get
62 = 9 x 6 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2225 and 9751 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(62,9) = HCF(133,62) = HCF(195,133) = HCF(328,195) = HCF(523,328) = HCF(851,523) = HCF(2225,851) = HCF(9751,2225) .
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Frequently Asked Questions on HCF of 2225, 9751 using Euclid's Algorithm
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 2225, 9751?
Answer: HCF of 2225, 9751 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2225, 9751 using Euclid's Algorithm?
Answer: For arbitrary numbers 2225, 9751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
