Highest Common Factor of 778, 293, 625 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 778, 293, 625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 778, 293, 625 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 778, 293, 625 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 778, 293, 625 is 1.
HCF(778, 293, 625) = 1
HCF of 778, 293, 625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 778, 293, 625 is 1.
Highest Common Factor of 778,293,625 is 1
Step 1: Since 778 > 293, we apply the division lemma to 778 and 293, to get
778 = 293 x 2 + 192
Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 192 and 293, to get
293 = 192 x 1 + 101
Step 3: We consider the new divisor 192 and the new remainder 101, and apply the division lemma to get
192 = 101 x 1 + 91
We consider the new divisor 101 and the new remainder 91,and apply the division lemma to get
101 = 91 x 1 + 10
We consider the new divisor 91 and the new remainder 10,and apply the division lemma to get
91 = 10 x 9 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 778 and 293 is 1
Notice that 1 = HCF(10,1) = HCF(91,10) = HCF(101,91) = HCF(192,101) = HCF(293,192) = HCF(778,293) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 625 > 1, we apply the division lemma to 625 and 1, to get
625 = 1 x 625 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 625 is 1
Notice that 1 = HCF(625,1) .
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Frequently Asked Questions on HCF of 778, 293, 625 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 778, 293, 625?
Answer: HCF of 778, 293, 625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 778, 293, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 778, 293, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.