Highest Common Factor of 8990, 6330 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 8990, 6330 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 8990, 6330 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 8990, 6330 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 8990, 6330 is 10.
HCF(8990, 6330) = 10
HCF of 8990, 6330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8990, 6330 is 10.
Highest Common Factor of 8990,6330 is 10
Step 1: Since 8990 > 6330, we apply the division lemma to 8990 and 6330, to get
8990 = 6330 x 1 + 2660
Step 2: Since the reminder 6330 ≠ 0, we apply division lemma to 2660 and 6330, to get
6330 = 2660 x 2 + 1010
Step 3: We consider the new divisor 2660 and the new remainder 1010, and apply the division lemma to get
2660 = 1010 x 2 + 640
We consider the new divisor 1010 and the new remainder 640,and apply the division lemma to get
1010 = 640 x 1 + 370
We consider the new divisor 640 and the new remainder 370,and apply the division lemma to get
640 = 370 x 1 + 270
We consider the new divisor 370 and the new remainder 270,and apply the division lemma to get
370 = 270 x 1 + 100
We consider the new divisor 270 and the new remainder 100,and apply the division lemma to get
270 = 100 x 2 + 70
We consider the new divisor 100 and the new remainder 70,and apply the division lemma to get
100 = 70 x 1 + 30
We consider the new divisor 70 and the new remainder 30,and apply the division lemma to get
70 = 30 x 2 + 10
We consider the new divisor 30 and the new remainder 10,and apply the division lemma to get
30 = 10 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 8990 and 6330 is 10
Notice that 10 = HCF(30,10) = HCF(70,30) = HCF(100,70) = HCF(270,100) = HCF(370,270) = HCF(640,370) = HCF(1010,640) = HCF(2660,1010) = HCF(6330,2660) = HCF(8990,6330) .
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Frequently Asked Questions on HCF of 8990, 6330 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 8990, 6330?
Answer: HCF of 8990, 6330 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8990, 6330 using Euclid's Algorithm?
Answer: For arbitrary numbers 8990, 6330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
