Highest Common Factor of 975, 795, 715 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 975, 795, 715 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 975, 795, 715 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 975, 795, 715 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 975, 795, 715 is 5.
HCF(975, 795, 715) = 5
HCF of 975, 795, 715 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 975, 795, 715 is 5.
Highest Common Factor of 975,795,715 is 5
Step 1: Since 975 > 795, we apply the division lemma to 975 and 795, to get
975 = 795 x 1 + 180
Step 2: Since the reminder 795 ≠ 0, we apply division lemma to 180 and 795, to get
795 = 180 x 4 + 75
Step 3: We consider the new divisor 180 and the new remainder 75, and apply the division lemma to get
180 = 75 x 2 + 30
We consider the new divisor 75 and the new remainder 30,and apply the division lemma to get
75 = 30 x 2 + 15
We consider the new divisor 30 and the new remainder 15,and apply the division lemma to get
30 = 15 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 975 and 795 is 15
Notice that 15 = HCF(30,15) = HCF(75,30) = HCF(180,75) = HCF(795,180) = HCF(975,795) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 715 > 15, we apply the division lemma to 715 and 15, to get
715 = 15 x 47 + 10
Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 10 and 15, to get
15 = 10 x 1 + 5
Step 3: We consider the new divisor 10 and the new remainder 5, and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 15 and 715 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(715,15) .
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Frequently Asked Questions on HCF of 975, 795, 715 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 975, 795, 715?
Answer: HCF of 975, 795, 715 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 975, 795, 715 using Euclid's Algorithm?
Answer: For arbitrary numbers 975, 795, 715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.