Highest Common Factor of 8922, 1925 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 8922, 1925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8922, 1925 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 8922, 1925 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 8922, 1925 is 1.

HCF(8922, 1925) = 1

HCF of 8922, 1925 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 8922, 1925 is 1.

Highest Common Factor of 8922,1925 using Euclid's algorithm

Highest Common Factor of 8922,1925 is 1

Step 1: Since 8922 > 1925, we apply the division lemma to 8922 and 1925, to get

8922 = 1925 x 4 + 1222

Step 2: Since the reminder 1925 ≠ 0, we apply division lemma to 1222 and 1925, to get

1925 = 1222 x 1 + 703

Step 3: We consider the new divisor 1222 and the new remainder 703, and apply the division lemma to get

1222 = 703 x 1 + 519

We consider the new divisor 703 and the new remainder 519,and apply the division lemma to get

703 = 519 x 1 + 184

We consider the new divisor 519 and the new remainder 184,and apply the division lemma to get

519 = 184 x 2 + 151

We consider the new divisor 184 and the new remainder 151,and apply the division lemma to get

184 = 151 x 1 + 33

We consider the new divisor 151 and the new remainder 33,and apply the division lemma to get

151 = 33 x 4 + 19

We consider the new divisor 33 and the new remainder 19,and apply the division lemma to get

33 = 19 x 1 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8922 and 1925 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(33,19) = HCF(151,33) = HCF(184,151) = HCF(519,184) = HCF(703,519) = HCF(1222,703) = HCF(1925,1222) = HCF(8922,1925) .

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Frequently Asked Questions on HCF of 8922, 1925 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 8922, 1925?

Answer: HCF of 8922, 1925 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8922, 1925 using Euclid's Algorithm?

Answer: For arbitrary numbers 8922, 1925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.