Highest Common Factor of 1740, 1276 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 1740, 1276 i.e. 116 the largest integer that leaves a remainder zero for all numbers.
HCF of 1740, 1276 is 116 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 1740, 1276 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 1740, 1276 is 116.
HCF(1740, 1276) = 116
HCF of 1740, 1276 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1740, 1276 is 116.
Highest Common Factor of 1740,1276 is 116
Step 1: Since 1740 > 1276, we apply the division lemma to 1740 and 1276, to get
1740 = 1276 x 1 + 464
Step 2: Since the reminder 1276 ≠ 0, we apply division lemma to 464 and 1276, to get
1276 = 464 x 2 + 348
Step 3: We consider the new divisor 464 and the new remainder 348, and apply the division lemma to get
464 = 348 x 1 + 116
We consider the new divisor 348 and the new remainder 116, and apply the division lemma to get
348 = 116 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 116, the HCF of 1740 and 1276 is 116
Notice that 116 = HCF(348,116) = HCF(464,348) = HCF(1276,464) = HCF(1740,1276) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1740, 1276 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 1740, 1276?
Answer: HCF of 1740, 1276 is 116 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1740, 1276 using Euclid's Algorithm?
Answer: For arbitrary numbers 1740, 1276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.