Highest Common Factor of 910, 325, 780 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 910, 325, 780 i.e. 65 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 325, 780 is 65 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 910, 325, 780 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 910, 325, 780 is 65.
HCF(910, 325, 780) = 65
HCF of 910, 325, 780 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 325, 780 is 65.
Highest Common Factor of 910,325,780 is 65
Step 1: Since 910 > 325, we apply the division lemma to 910 and 325, to get
910 = 325 x 2 + 260
Step 2: Since the reminder 325 ≠ 0, we apply division lemma to 260 and 325, to get
325 = 260 x 1 + 65
Step 3: We consider the new divisor 260 and the new remainder 65, and apply the division lemma to get
260 = 65 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 65, the HCF of 910 and 325 is 65
Notice that 65 = HCF(260,65) = HCF(325,260) = HCF(910,325) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 780 > 65, we apply the division lemma to 780 and 65, to get
780 = 65 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 65, the HCF of 65 and 780 is 65
Notice that 65 = HCF(780,65) .
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Frequently Asked Questions on HCF of 910, 325, 780 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 910, 325, 780?
Answer: HCF of 910, 325, 780 is 65 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 325, 780 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 325, 780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.