Highest Common Factor of 615, 985, 775 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 615, 985, 775 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 985, 775 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 615, 985, 775 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 615, 985, 775 is 5.
HCF(615, 985, 775) = 5
HCF of 615, 985, 775 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 985, 775 is 5.
Highest Common Factor of 615,985,775 is 5
Step 1: Since 985 > 615, we apply the division lemma to 985 and 615, to get
985 = 615 x 1 + 370
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 370 and 615, to get
615 = 370 x 1 + 245
Step 3: We consider the new divisor 370 and the new remainder 245, and apply the division lemma to get
370 = 245 x 1 + 125
We consider the new divisor 245 and the new remainder 125,and apply the division lemma to get
245 = 125 x 1 + 120
We consider the new divisor 125 and the new remainder 120,and apply the division lemma to get
125 = 120 x 1 + 5
We consider the new divisor 120 and the new remainder 5,and apply the division lemma to get
120 = 5 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 615 and 985 is 5
Notice that 5 = HCF(120,5) = HCF(125,120) = HCF(245,125) = HCF(370,245) = HCF(615,370) = HCF(985,615) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 775 > 5, we apply the division lemma to 775 and 5, to get
775 = 5 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 775 is 5
Notice that 5 = HCF(775,5) .
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Frequently Asked Questions on HCF of 615, 985, 775 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 615, 985, 775?
Answer: HCF of 615, 985, 775 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 985, 775 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 985, 775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.