Highest Common Factor of 880, 530 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, 530 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 530 is 10 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, 530 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, 530 is 10.
HCF(880, 530) = 10
HCF of 880, 530 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, 530 is 10.
Highest Common Factor of 880,530 is 10
Step 1: Since 880 > 530, we apply the division lemma to 880 and 530, to get
880 = 530 x 1 + 350
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 350 and 530, to get
530 = 350 x 1 + 180
Step 3: We consider the new divisor 350 and the new remainder 180, and apply the division lemma to get
350 = 180 x 1 + 170
We consider the new divisor 180 and the new remainder 170,and apply the division lemma to get
180 = 170 x 1 + 10
We consider the new divisor 170 and the new remainder 10,and apply the division lemma to get
170 = 10 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 880 and 530 is 10
Notice that 10 = HCF(170,10) = HCF(180,170) = HCF(350,180) = HCF(530,350) = HCF(880,530) .
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Frequently Asked Questions on HCF of 880, 530 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, 530?
Answer: HCF of 880, 530 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 530 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.