Highest Common Factor of 990, 560 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 990, 560 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 990, 560 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 990, 560 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 990, 560 is 10.
HCF(990, 560) = 10
HCF of 990, 560 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 990, 560 is 10.
Highest Common Factor of 990,560 is 10
Step 1: Since 990 > 560, we apply the division lemma to 990 and 560, to get
990 = 560 x 1 + 430
Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 430 and 560, to get
560 = 430 x 1 + 130
Step 3: We consider the new divisor 430 and the new remainder 130, and apply the division lemma to get
430 = 130 x 3 + 40
We consider the new divisor 130 and the new remainder 40,and apply the division lemma to get
130 = 40 x 3 + 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 990 and 560 is 10
Notice that 10 = HCF(40,10) = HCF(130,40) = HCF(430,130) = HCF(560,430) = HCF(990,560) .
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Frequently Asked Questions on HCF of 990, 560 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 990, 560?
Answer: HCF of 990, 560 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 990, 560 using Euclid's Algorithm?
Answer: For arbitrary numbers 990, 560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.