Highest Common Factor of 720, 910, 330, 955 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 720, 910, 330, 955 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 720, 910, 330, 955 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 720, 910, 330, 955 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 720, 910, 330, 955 is 5.
HCF(720, 910, 330, 955) = 5
HCF of 720, 910, 330, 955 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 720, 910, 330, 955 is 5.
Highest Common Factor of 720,910,330,955 is 5
Step 1: Since 910 > 720, we apply the division lemma to 910 and 720, to get
910 = 720 x 1 + 190
Step 2: Since the reminder 720 ≠ 0, we apply division lemma to 190 and 720, to get
720 = 190 x 3 + 150
Step 3: We consider the new divisor 190 and the new remainder 150, and apply the division lemma to get
190 = 150 x 1 + 40
We consider the new divisor 150 and the new remainder 40,and apply the division lemma to get
150 = 40 x 3 + 30
We consider the new divisor 40 and the new remainder 30,and apply the division lemma to get
40 = 30 x 1 + 10
We consider the new divisor 30 and the new remainder 10,and apply the division lemma to get
30 = 10 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 720 and 910 is 10
Notice that 10 = HCF(30,10) = HCF(40,30) = HCF(150,40) = HCF(190,150) = HCF(720,190) = HCF(910,720) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 330 > 10, we apply the division lemma to 330 and 10, to get
330 = 10 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 330 is 10
Notice that 10 = HCF(330,10) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 955 > 10, we apply the division lemma to 955 and 10, to get
955 = 10 x 95 + 5
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 5 and 10, 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 10 and 955 is 5
Notice that 5 = HCF(10,5) = HCF(955,10) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 720, 910, 330, 955 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 720, 910, 330, 955?
Answer: HCF of 720, 910, 330, 955 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 720, 910, 330, 955 using Euclid's Algorithm?
Answer: For arbitrary numbers 720, 910, 330, 955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.