Highest Common Factor of 918, 280, 751, 693 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 918, 280, 751, 693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 280, 751, 693 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 918, 280, 751, 693 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 918, 280, 751, 693 is 1.
HCF(918, 280, 751, 693) = 1
HCF of 918, 280, 751, 693 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 918, 280, 751, 693 is 1.
Highest Common Factor of 918,280,751,693 is 1
Step 1: Since 918 > 280, we apply the division lemma to 918 and 280, to get
918 = 280 x 3 + 78
Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 78 and 280, to get
280 = 78 x 3 + 46
Step 3: We consider the new divisor 78 and the new remainder 46, and apply the division lemma to get
78 = 46 x 1 + 32
We consider the new divisor 46 and the new remainder 32,and apply the division lemma to get
46 = 32 x 1 + 14
We consider the new divisor 32 and the new remainder 14,and apply the division lemma to get
32 = 14 x 2 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 918 and 280 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(32,14) = HCF(46,32) = HCF(78,46) = HCF(280,78) = HCF(918,280) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 751 > 2, we apply the division lemma to 751 and 2, to get
751 = 2 x 375 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 751 is 1
Notice that 1 = HCF(2,1) = HCF(751,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 693 > 1, we apply the division lemma to 693 and 1, to get
693 = 1 x 693 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 693 is 1
Notice that 1 = HCF(693,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 918, 280, 751, 693 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 918, 280, 751, 693?
Answer: HCF of 918, 280, 751, 693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 280, 751, 693 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 280, 751, 693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
