Highest Common Factor of 700, 896, 277, 319 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 700, 896, 277, 319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 700, 896, 277, 319 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 700, 896, 277, 319 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 700, 896, 277, 319 is 1.
HCF(700, 896, 277, 319) = 1
HCF of 700, 896, 277, 319 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 700, 896, 277, 319 is 1.
Highest Common Factor of 700,896,277,319 is 1
Step 1: Since 896 > 700, we apply the division lemma to 896 and 700, to get
896 = 700 x 1 + 196
Step 2: Since the reminder 700 ≠ 0, we apply division lemma to 196 and 700, to get
700 = 196 x 3 + 112
Step 3: We consider the new divisor 196 and the new remainder 112, and apply the division lemma to get
196 = 112 x 1 + 84
We consider the new divisor 112 and the new remainder 84,and apply the division lemma to get
112 = 84 x 1 + 28
We consider the new divisor 84 and the new remainder 28,and apply the division lemma to get
84 = 28 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 700 and 896 is 28
Notice that 28 = HCF(84,28) = HCF(112,84) = HCF(196,112) = HCF(700,196) = HCF(896,700) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 277 > 28, we apply the division lemma to 277 and 28, to get
277 = 28 x 9 + 25
Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 25 and 28, to get
28 = 25 x 1 + 3
Step 3: We consider the new divisor 25 and the new remainder 3, and apply the division lemma to get
25 = 3 x 8 + 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 28 and 277 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(28,25) = HCF(277,28) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 319 > 1, we apply the division lemma to 319 and 1, to get
319 = 1 x 319 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 319 is 1
Notice that 1 = HCF(319,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 700, 896, 277, 319 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 700, 896, 277, 319?
Answer: HCF of 700, 896, 277, 319 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 700, 896, 277, 319 using Euclid's Algorithm?
Answer: For arbitrary numbers 700, 896, 277, 319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.