Highest Common Factor of 846, 564 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 846, 564 i.e. 282 the largest integer that leaves a remainder zero for all numbers.
HCF of 846, 564 is 282 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 846, 564 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 846, 564 is 282.
HCF(846, 564) = 282
HCF of 846, 564 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 846, 564 is 282.
Highest Common Factor of 846,564 is 282
Step 1: Since 846 > 564, we apply the division lemma to 846 and 564, to get
846 = 564 x 1 + 282
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 282 and 564, to get
564 = 282 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 282, the HCF of 846 and 564 is 282
Notice that 282 = HCF(564,282) = HCF(846,564) .
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Frequently Asked Questions on HCF of 846, 564 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 846, 564?
Answer: HCF of 846, 564 is 282 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 846, 564 using Euclid's Algorithm?
Answer: For arbitrary numbers 846, 564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.