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 7096, 5748 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7096, 5748 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 7096, 5748 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 7096, 5748 is 4.
HCF(7096, 5748) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7096, 5748 is 4.
Step 1: Since 7096 > 5748, we apply the division lemma to 7096 and 5748, to get
7096 = 5748 x 1 + 1348
Step 2: Since the reminder 5748 ≠ 0, we apply division lemma to 1348 and 5748, to get
5748 = 1348 x 4 + 356
Step 3: We consider the new divisor 1348 and the new remainder 356, and apply the division lemma to get
1348 = 356 x 3 + 280
We consider the new divisor 356 and the new remainder 280,and apply the division lemma to get
356 = 280 x 1 + 76
We consider the new divisor 280 and the new remainder 76,and apply the division lemma to get
280 = 76 x 3 + 52
We consider the new divisor 76 and the new remainder 52,and apply the division lemma to get
76 = 52 x 1 + 24
We consider the new divisor 52 and the new remainder 24,and apply the division lemma to get
52 = 24 x 2 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7096 and 5748 is 4
Notice that 4 = HCF(24,4) = HCF(52,24) = HCF(76,52) = HCF(280,76) = HCF(356,280) = HCF(1348,356) = HCF(5748,1348) = HCF(7096,5748) .
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 7096, 5748?
Answer: HCF of 7096, 5748 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7096, 5748 using Euclid's Algorithm?
Answer: For arbitrary numbers 7096, 5748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.