Highest Common Factor of 7810, 1777 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 7810, 1777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7810, 1777 is 1 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 7810, 1777 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 7810, 1777 is 1.
HCF(7810, 1777) = 1
HCF of 7810, 1777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7810, 1777 is 1.
Highest Common Factor of 7810,1777 is 1
Step 1: Since 7810 > 1777, we apply the division lemma to 7810 and 1777, to get
7810 = 1777 x 4 + 702
Step 2: Since the reminder 1777 ≠ 0, we apply division lemma to 702 and 1777, to get
1777 = 702 x 2 + 373
Step 3: We consider the new divisor 702 and the new remainder 373, and apply the division lemma to get
702 = 373 x 1 + 329
We consider the new divisor 373 and the new remainder 329,and apply the division lemma to get
373 = 329 x 1 + 44
We consider the new divisor 329 and the new remainder 44,and apply the division lemma to get
329 = 44 x 7 + 21
We consider the new divisor 44 and the new remainder 21,and apply the division lemma to get
44 = 21 x 2 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7810 and 1777 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(44,21) = HCF(329,44) = HCF(373,329) = HCF(702,373) = HCF(1777,702) = HCF(7810,1777) .
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Frequently Asked Questions on HCF of 7810, 1777 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 7810, 1777?
Answer: HCF of 7810, 1777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7810, 1777 using Euclid's Algorithm?
Answer: For arbitrary numbers 7810, 1777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.