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 5565, 3134 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5565, 3134 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 5565, 3134 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 5565, 3134 is 1.
HCF(5565, 3134) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5565, 3134 is 1.
Step 1: Since 5565 > 3134, we apply the division lemma to 5565 and 3134, to get
5565 = 3134 x 1 + 2431
Step 2: Since the reminder 3134 ≠ 0, we apply division lemma to 2431 and 3134, to get
3134 = 2431 x 1 + 703
Step 3: We consider the new divisor 2431 and the new remainder 703, and apply the division lemma to get
2431 = 703 x 3 + 322
We consider the new divisor 703 and the new remainder 322,and apply the division lemma to get
703 = 322 x 2 + 59
We consider the new divisor 322 and the new remainder 59,and apply the division lemma to get
322 = 59 x 5 + 27
We consider the new divisor 59 and the new remainder 27,and apply the division lemma to get
59 = 27 x 2 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
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 5565 and 3134 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(59,27) = HCF(322,59) = HCF(703,322) = HCF(2431,703) = HCF(3134,2431) = HCF(5565,3134) .
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 5565, 3134?
Answer: HCF of 5565, 3134 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5565, 3134 using Euclid's Algorithm?
Answer: For arbitrary numbers 5565, 3134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.