Highest Common Factor of 296, 740 using Euclid's algorithm
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 296, 740 i.e. 148 the largest integer that leaves a remainder zero for all numbers.
HCF of 296, 740 is 148 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 296, 740 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 296, 740 is 148.
HCF(296, 740) = 148
HCF of 296, 740 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 296, 740 is 148.
Highest Common Factor of 296,740 is 148
Step 1: Since 740 > 296, we apply the division lemma to 740 and 296, to get
740 = 296 x 2 + 148
Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 148 and 296, to get
296 = 148 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 148, the HCF of 296 and 740 is 148
Notice that 148 = HCF(296,148) = HCF(740,296) .
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Frequently Asked Questions on HCF of 296, 740 using Euclid's Algorithm
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 296, 740?
Answer: HCF of 296, 740 is 148 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 296, 740 using Euclid's Algorithm?
Answer: For arbitrary numbers 296, 740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.