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 765, 958, 174 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 765, 958, 174 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 765, 958, 174 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 765, 958, 174 is 1.
HCF(765, 958, 174) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 765, 958, 174 is 1.
Step 1: Since 958 > 765, we apply the division lemma to 958 and 765, to get
958 = 765 x 1 + 193
Step 2: Since the reminder 765 ≠ 0, we apply division lemma to 193 and 765, to get
765 = 193 x 3 + 186
Step 3: We consider the new divisor 193 and the new remainder 186, and apply the division lemma to get
193 = 186 x 1 + 7
We consider the new divisor 186 and the new remainder 7,and apply the division lemma to get
186 = 7 x 26 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 765 and 958 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(186,7) = HCF(193,186) = HCF(765,193) = HCF(958,765) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 174 > 1, we apply the division lemma to 174 and 1, to get
174 = 1 x 174 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 174 is 1
Notice that 1 = HCF(174,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 765, 958, 174?
Answer: HCF of 765, 958, 174 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 765, 958, 174 using Euclid's Algorithm?
Answer: For arbitrary numbers 765, 958, 174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.