Highest Common Factor of 8690, 5670 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 8690, 5670 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 8690, 5670 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 8690, 5670 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 8690, 5670 is 10.
HCF(8690, 5670) = 10
HCF of 8690, 5670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8690, 5670 is 10.
Highest Common Factor of 8690,5670 is 10
Step 1: Since 8690 > 5670, we apply the division lemma to 8690 and 5670, to get
8690 = 5670 x 1 + 3020
Step 2: Since the reminder 5670 ≠ 0, we apply division lemma to 3020 and 5670, to get
5670 = 3020 x 1 + 2650
Step 3: We consider the new divisor 3020 and the new remainder 2650, and apply the division lemma to get
3020 = 2650 x 1 + 370
We consider the new divisor 2650 and the new remainder 370,and apply the division lemma to get
2650 = 370 x 7 + 60
We consider the new divisor 370 and the new remainder 60,and apply the division lemma to get
370 = 60 x 6 + 10
We consider the new divisor 60 and the new remainder 10,and apply the division lemma to get
60 = 10 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 8690 and 5670 is 10
Notice that 10 = HCF(60,10) = HCF(370,60) = HCF(2650,370) = HCF(3020,2650) = HCF(5670,3020) = HCF(8690,5670) .
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Frequently Asked Questions on HCF of 8690, 5670 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 8690, 5670?
Answer: HCF of 8690, 5670 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8690, 5670 using Euclid's Algorithm?
Answer: For arbitrary numbers 8690, 5670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
