Highest Common Factor of 560, 98210 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 560, 98210 i.e. 70 the largest integer that leaves a remainder zero for all numbers.
HCF of 560, 98210 is 70 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 560, 98210 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 560, 98210 is 70.
HCF(560, 98210) = 70
HCF of 560, 98210 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 560, 98210 is 70.
Highest Common Factor of 560,98210 is 70
Step 1: Since 98210 > 560, we apply the division lemma to 98210 and 560, to get
98210 = 560 x 175 + 210
Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 210 and 560, to get
560 = 210 x 2 + 140
Step 3: We consider the new divisor 210 and the new remainder 140, and apply the division lemma to get
210 = 140 x 1 + 70
We consider the new divisor 140 and the new remainder 70, and apply the division lemma to get
140 = 70 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 70, the HCF of 560 and 98210 is 70
Notice that 70 = HCF(140,70) = HCF(210,140) = HCF(560,210) = HCF(98210,560) .
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Frequently Asked Questions on HCF of 560, 98210 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 560, 98210?
Answer: HCF of 560, 98210 is 70 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 560, 98210 using Euclid's Algorithm?
Answer: For arbitrary numbers 560, 98210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.