Highest Common Factor of 778, 22273 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 778, 22273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 778, 22273 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 778, 22273 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 778, 22273 is 1.
HCF(778, 22273) = 1
HCF of 778, 22273 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 778, 22273 is 1.
Highest Common Factor of 778,22273 is 1
Step 1: Since 22273 > 778, we apply the division lemma to 22273 and 778, to get
22273 = 778 x 28 + 489
Step 2: Since the reminder 778 ≠ 0, we apply division lemma to 489 and 778, to get
778 = 489 x 1 + 289
Step 3: We consider the new divisor 489 and the new remainder 289, and apply the division lemma to get
489 = 289 x 1 + 200
We consider the new divisor 289 and the new remainder 200,and apply the division lemma to get
289 = 200 x 1 + 89
We consider the new divisor 200 and the new remainder 89,and apply the division lemma to get
200 = 89 x 2 + 22
We consider the new divisor 89 and the new remainder 22,and apply the division lemma to get
89 = 22 x 4 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 778 and 22273 is 1
Notice that 1 = HCF(22,1) = HCF(89,22) = HCF(200,89) = HCF(289,200) = HCF(489,289) = HCF(778,489) = HCF(22273,778) .
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Frequently Asked Questions on HCF of 778, 22273 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 778, 22273?
Answer: HCF of 778, 22273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 778, 22273 using Euclid's Algorithm?
Answer: For arbitrary numbers 778, 22273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.