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 740, 955, 962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 740, 955, 962 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 740, 955, 962 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 740, 955, 962 is 1.
HCF(740, 955, 962) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 740, 955, 962 is 1.
Step 1: Since 955 > 740, we apply the division lemma to 955 and 740, to get
955 = 740 x 1 + 215
Step 2: Since the reminder 740 ≠ 0, we apply division lemma to 215 and 740, to get
740 = 215 x 3 + 95
Step 3: We consider the new divisor 215 and the new remainder 95, and apply the division lemma to get
215 = 95 x 2 + 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 740 and 955 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(95,25) = HCF(215,95) = HCF(740,215) = HCF(955,740) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 962 > 5, we apply the division lemma to 962 and 5, to get
962 = 5 x 192 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 962 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(962,5) .
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 740, 955, 962?
Answer: HCF of 740, 955, 962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 740, 955, 962 using Euclid's Algorithm?
Answer: For arbitrary numbers 740, 955, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.