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 7416, 7948 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7416, 7948 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 7416, 7948 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 7416, 7948 is 4.
HCF(7416, 7948) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7416, 7948 is 4.
Step 1: Since 7948 > 7416, we apply the division lemma to 7948 and 7416, to get
7948 = 7416 x 1 + 532
Step 2: Since the reminder 7416 ≠ 0, we apply division lemma to 532 and 7416, to get
7416 = 532 x 13 + 500
Step 3: We consider the new divisor 532 and the new remainder 500, and apply the division lemma to get
532 = 500 x 1 + 32
We consider the new divisor 500 and the new remainder 32,and apply the division lemma to get
500 = 32 x 15 + 20
We consider the new divisor 32 and the new remainder 20,and apply the division lemma to get
32 = 20 x 1 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7416 and 7948 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(32,20) = HCF(500,32) = HCF(532,500) = HCF(7416,532) = HCF(7948,7416) .
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 7416, 7948?
Answer: HCF of 7416, 7948 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7416, 7948 using Euclid's Algorithm?
Answer: For arbitrary numbers 7416, 7948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.