Highest Common Factor of 880, 90334 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, 90334 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 90334 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, 90334 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, 90334 is 2.
HCF(880, 90334) = 2
HCF of 880, 90334 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, 90334 is 2.
Highest Common Factor of 880,90334 is 2
Step 1: Since 90334 > 880, we apply the division lemma to 90334 and 880, to get
90334 = 880 x 102 + 574
Step 2: Since the reminder 880 ≠ 0, we apply division lemma to 574 and 880, to get
880 = 574 x 1 + 306
Step 3: We consider the new divisor 574 and the new remainder 306, and apply the division lemma to get
574 = 306 x 1 + 268
We consider the new divisor 306 and the new remainder 268,and apply the division lemma to get
306 = 268 x 1 + 38
We consider the new divisor 268 and the new remainder 38,and apply the division lemma to get
268 = 38 x 7 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 880 and 90334 is 2
Notice that 2 = HCF(38,2) = HCF(268,38) = HCF(306,268) = HCF(574,306) = HCF(880,574) = HCF(90334,880) .
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Frequently Asked Questions on HCF of 880, 90334 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, 90334?
Answer: HCF of 880, 90334 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 90334 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 90334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.