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 5700, 7316 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5700, 7316 is 4 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 5700, 7316 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 5700, 7316 is 4.
HCF(5700, 7316) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5700, 7316 is 4.
Step 1: Since 7316 > 5700, we apply the division lemma to 7316 and 5700, to get
7316 = 5700 x 1 + 1616
Step 2: Since the reminder 5700 ≠ 0, we apply division lemma to 1616 and 5700, to get
5700 = 1616 x 3 + 852
Step 3: We consider the new divisor 1616 and the new remainder 852, and apply the division lemma to get
1616 = 852 x 1 + 764
We consider the new divisor 852 and the new remainder 764,and apply the division lemma to get
852 = 764 x 1 + 88
We consider the new divisor 764 and the new remainder 88,and apply the division lemma to get
764 = 88 x 8 + 60
We consider the new divisor 88 and the new remainder 60,and apply the division lemma to get
88 = 60 x 1 + 28
We consider the new divisor 60 and the new remainder 28,and apply the division lemma to get
60 = 28 x 2 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5700 and 7316 is 4
Notice that 4 = HCF(28,4) = HCF(60,28) = HCF(88,60) = HCF(764,88) = HCF(852,764) = HCF(1616,852) = HCF(5700,1616) = HCF(7316,5700) .
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 5700, 7316?
Answer: HCF of 5700, 7316 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5700, 7316 using Euclid's Algorithm?
Answer: For arbitrary numbers 5700, 7316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.