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 536, 880, 313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 880, 313 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 536, 880, 313 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 536, 880, 313 is 1.
HCF(536, 880, 313) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 536, 880, 313 is 1.
Step 1: Since 880 > 536, we apply the division lemma to 880 and 536, to get
880 = 536 x 1 + 344
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 344 and 536, to get
536 = 344 x 1 + 192
Step 3: We consider the new divisor 344 and the new remainder 192, and apply the division lemma to get
344 = 192 x 1 + 152
We consider the new divisor 192 and the new remainder 152,and apply the division lemma to get
192 = 152 x 1 + 40
We consider the new divisor 152 and the new remainder 40,and apply the division lemma to get
152 = 40 x 3 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 536 and 880 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(152,40) = HCF(192,152) = HCF(344,192) = HCF(536,344) = HCF(880,536) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 313 > 8, we apply the division lemma to 313 and 8, to get
313 = 8 x 39 + 1
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 1 and 8, to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 313 is 1
Notice that 1 = HCF(8,1) = HCF(313,8) .
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 536, 880, 313?
Answer: HCF of 536, 880, 313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 880, 313 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 880, 313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.