Highest Common Factor of 945, 719, 875 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 945, 719, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 945, 719, 875 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 945, 719, 875 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 945, 719, 875 is 1.
HCF(945, 719, 875) = 1
HCF of 945, 719, 875 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 945, 719, 875 is 1.
Highest Common Factor of 945,719,875 is 1
Step 1: Since 945 > 719, we apply the division lemma to 945 and 719, to get
945 = 719 x 1 + 226
Step 2: Since the reminder 719 ≠ 0, we apply division lemma to 226 and 719, to get
719 = 226 x 3 + 41
Step 3: We consider the new divisor 226 and the new remainder 41, and apply the division lemma to get
226 = 41 x 5 + 21
We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get
41 = 21 x 1 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 945 and 719 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(226,41) = HCF(719,226) = HCF(945,719) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 875 > 1, we apply the division lemma to 875 and 1, to get
875 = 1 x 875 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 875 is 1
Notice that 1 = HCF(875,1) .
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Frequently Asked Questions on HCF of 945, 719, 875 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 945, 719, 875?
Answer: HCF of 945, 719, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 945, 719, 875 using Euclid's Algorithm?
Answer: For arbitrary numbers 945, 719, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.