Highest Common Factor of 840, 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 840, 530 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 840, 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 840, 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 840, 530 is 10.
HCF(840, 530) = 10
HCF of 840, 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 840, 530 is 10.
Highest Common Factor of 840,530 is 10
Step 1: Since 840 > 530, we apply the division lemma to 840 and 530, to get
840 = 530 x 1 + 310
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 310 and 530, to get
530 = 310 x 1 + 220
Step 3: We consider the new divisor 310 and the new remainder 220, and apply the division lemma to get
310 = 220 x 1 + 90
We consider the new divisor 220 and the new remainder 90,and apply the division lemma to get
220 = 90 x 2 + 40
We consider the new divisor 90 and the new remainder 40,and apply the division lemma to get
90 = 40 x 2 + 10
We consider the new divisor 40 and the new remainder 10,and apply the division lemma to get
40 = 10 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 840 and 530 is 10
Notice that 10 = HCF(40,10) = HCF(90,40) = HCF(220,90) = HCF(310,220) = HCF(530,310) = HCF(840,530) .
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Frequently Asked Questions on HCF of 840, 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 840, 530?
Answer: HCF of 840, 530 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 840, 530 using Euclid's Algorithm?
Answer: For arbitrary numbers 840, 530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.