Highest Common Factor of 980, 765, 615 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 980, 765, 615 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 765, 615 is 5 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 980, 765, 615 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 980, 765, 615 is 5.
HCF(980, 765, 615) = 5
HCF of 980, 765, 615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 765, 615 is 5.
Highest Common Factor of 980,765,615 is 5
Step 1: Since 980 > 765, we apply the division lemma to 980 and 765, to get
980 = 765 x 1 + 215
Step 2: Since the reminder 765 ≠ 0, we apply division lemma to 215 and 765, to get
765 = 215 x 3 + 120
Step 3: We consider the new divisor 215 and the new remainder 120, and apply the division lemma to get
215 = 120 x 1 + 95
We consider the new divisor 120 and the new remainder 95,and apply the division lemma to get
120 = 95 x 1 + 25
We consider the new divisor 95 and the new remainder 25,and apply the division lemma to get
95 = 25 x 3 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 980 and 765 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(95,25) = HCF(120,95) = HCF(215,120) = HCF(765,215) = HCF(980,765) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 615 > 5, we apply the division lemma to 615 and 5, to get
615 = 5 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 615 is 5
Notice that 5 = HCF(615,5) .
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Frequently Asked Questions on HCF of 980, 765, 615 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 980, 765, 615?
Answer: HCF of 980, 765, 615 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 765, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 765, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.