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 880, 760 i.e. 40 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 760 is 40 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 880, 760 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 880, 760 is 40.
HCF(880, 760) = 40
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 880, 760 is 40.
Step 1: Since 880 > 760, we apply the division lemma to 880 and 760, to get
880 = 760 x 1 + 120
Step 2: Since the reminder 760 ≠ 0, we apply division lemma to 120 and 760, to get
760 = 120 x 6 + 40
Step 3: We consider the new divisor 120 and the new remainder 40, and apply the division lemma to get
120 = 40 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 880 and 760 is 40
Notice that 40 = HCF(120,40) = HCF(760,120) = HCF(880,760) .
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 880, 760?
Answer: HCF of 880, 760 is 40 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 760 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.