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 7948, 1148 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7948, 1148 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 7948, 1148 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 7948, 1148 is 4.
HCF(7948, 1148) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7948, 1148 is 4.
Step 1: Since 7948 > 1148, we apply the division lemma to 7948 and 1148, to get
7948 = 1148 x 6 + 1060
Step 2: Since the reminder 1148 ≠ 0, we apply division lemma to 1060 and 1148, to get
1148 = 1060 x 1 + 88
Step 3: We consider the new divisor 1060 and the new remainder 88, and apply the division lemma to get
1060 = 88 x 12 + 4
We consider the new divisor 88 and the new remainder 4, and apply the division lemma to get
88 = 4 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7948 and 1148 is 4
Notice that 4 = HCF(88,4) = HCF(1060,88) = HCF(1148,1060) = HCF(7948,1148) .
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 7948, 1148?
Answer: HCF of 7948, 1148 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7948, 1148 using Euclid's Algorithm?
Answer: For arbitrary numbers 7948, 1148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.