Highest Common Factor of 6990, 7239, 76510 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 6990, 7239, 76510 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6990, 7239, 76510 is 1 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 6990, 7239, 76510 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 6990, 7239, 76510 is 1.
HCF(6990, 7239, 76510) = 1
HCF of 6990, 7239, 76510 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6990, 7239, 76510 is 1.
Highest Common Factor of 6990,7239,76510 is 1
Step 1: Since 7239 > 6990, we apply the division lemma to 7239 and 6990, to get
7239 = 6990 x 1 + 249
Step 2: Since the reminder 6990 ≠ 0, we apply division lemma to 249 and 6990, to get
6990 = 249 x 28 + 18
Step 3: We consider the new divisor 249 and the new remainder 18, and apply the division lemma to get
249 = 18 x 13 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6990 and 7239 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(249,18) = HCF(6990,249) = HCF(7239,6990) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76510 > 3, we apply the division lemma to 76510 and 3, to get
76510 = 3 x 25503 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 76510 is 1
Notice that 1 = HCF(3,1) = HCF(76510,3) .
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Frequently Asked Questions on HCF of 6990, 7239, 76510 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 6990, 7239, 76510?
Answer: HCF of 6990, 7239, 76510 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6990, 7239, 76510 using Euclid's Algorithm?
Answer: For arbitrary numbers 6990, 7239, 76510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.