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 7928, 3084 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7928, 3084 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 7928, 3084 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 7928, 3084 is 4.
HCF(7928, 3084) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7928, 3084 is 4.
Step 1: Since 7928 > 3084, we apply the division lemma to 7928 and 3084, to get
7928 = 3084 x 2 + 1760
Step 2: Since the reminder 3084 ≠ 0, we apply division lemma to 1760 and 3084, to get
3084 = 1760 x 1 + 1324
Step 3: We consider the new divisor 1760 and the new remainder 1324, and apply the division lemma to get
1760 = 1324 x 1 + 436
We consider the new divisor 1324 and the new remainder 436,and apply the division lemma to get
1324 = 436 x 3 + 16
We consider the new divisor 436 and the new remainder 16,and apply the division lemma to get
436 = 16 x 27 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7928 and 3084 is 4
Notice that 4 = HCF(16,4) = HCF(436,16) = HCF(1324,436) = HCF(1760,1324) = HCF(3084,1760) = HCF(7928,3084) .
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 7928, 3084?
Answer: HCF of 7928, 3084 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7928, 3084 using Euclid's Algorithm?
Answer: For arbitrary numbers 7928, 3084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.