Highest Common Factor of 880, 47222 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 880, 47222 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 47222 is 2 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 880, 47222 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 880, 47222 is 2.
HCF(880, 47222) = 2
HCF of 880, 47222 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 880, 47222 is 2.
Highest Common Factor of 880,47222 is 2
Step 1: Since 47222 > 880, we apply the division lemma to 47222 and 880, to get
47222 = 880 x 53 + 582
Step 2: Since the reminder 880 ≠ 0, we apply division lemma to 582 and 880, to get
880 = 582 x 1 + 298
Step 3: We consider the new divisor 582 and the new remainder 298, and apply the division lemma to get
582 = 298 x 1 + 284
We consider the new divisor 298 and the new remainder 284,and apply the division lemma to get
298 = 284 x 1 + 14
We consider the new divisor 284 and the new remainder 14,and apply the division lemma to get
284 = 14 x 20 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 880 and 47222 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(284,14) = HCF(298,284) = HCF(582,298) = HCF(880,582) = HCF(47222,880) .
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Frequently Asked Questions on HCF of 880, 47222 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 880, 47222?
Answer: HCF of 880, 47222 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 47222 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 47222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.